Sulfydryl-contained(-SH)substances including hydrogen sulfide(H_(2)S),cysteine(Cys),homocysteine(Hcy)and glutathione(GSH)play crucial roles in living systems,and their variations are closely associated with various di...Sulfydryl-contained(-SH)substances including hydrogen sulfide(H_(2)S),cysteine(Cys),homocysteine(Hcy)and glutathione(GSH)play crucial roles in living systems,and their variations are closely associated with various diseases.Herein,we developed a near-infrared intramolecular charge transfer(ICT)based fluorescent probe Y-NBD,achieving detection of Cys/Hcy and H_(2)S with different fluorescent signals(green-red for Cys/Hcy,red for H_(2)S),large Stokes shifts(∼100/105nm or 191 nm)and high signal-background-ratio,but not responding to GSH.Y-NBD was successfully applied to image exogenous/endogenous Cys/Hcy and H_(2)S in various living cancer cells(HeLa,A549,and HepG2)and in zebrafish.It not only visualized the transformation pathway of several thiols in HepG2 cells but also verified that the intestine is the main site for the activation and metabolism of Y-NBD in zebrafish,as well as realized to evaluate the degree of drug-induced liver injury.This work provides a promising tool for imaging Cys/Hcy and H_(2)S in living systems and shows great potency in evaluating drug-induced liver injury and its treatment.展开更多
Benzo[4,5]imidazo[1,2-a]pyrimidine-based derivatives play crucial roles in medicines,pesticides,tracers and photoelectric materials.However,their synthesis approach still needs to be optimized,and their fluorescent pr...Benzo[4,5]imidazo[1,2-a]pyrimidine-based derivatives play crucial roles in medicines,pesticides,tracers and photoelectric materials.However,their synthesis approach still needs to be optimized,and their fluorescent properties in intracellular microenvironment are unclear.Here,a Cu(II)-catalyzed cascade coupling cyclization reaction was successfully developed to synthesize benzo[4,5]imidazo[1,2-a]pyrimidine scaffold with mild reaction conditions,broad substrate scopes and high yields.After a system study,we found that compound 4aa displayed an optimal viscosity-specific response with remarkable fluorescence enhancement(102-fold)for glycerol at 490 nm.Particularly,4aa possessed excellent structure-inherent targeting(SIT)capability for lysosome(P=0.95)with high p H stability and large Stokes shift.Importantly,4aa was validated for its effectiveness in diagnosing lysosomal storage disorders(LSD)in living cells.The 4aa also showed its potential to map the micro-viscosity and its metabolism process in zebrafish.This work not only affords an efficient protocol to fabricate benzo[4,5]imidazo[1,2-a]pyrimidine derivatives,reveals this skeleton has excellent SIT features for lysosome,but also manifests that 4aa can serve as a practical tool to monitor lysosomal viscosity and diagnose LSD.展开更多
Parthenogenetic embryonic stem cells have pluripotent differentiation potentials, akin to fertilized embryo-derived embryonic stem cells. The aim of this study was to compare the neuronal differentiation potential of ...Parthenogenetic embryonic stem cells have pluripotent differentiation potentials, akin to fertilized embryo-derived embryonic stem cells. The aim of this study was to compare the neuronal differentiation potential of parthenogenetic and fertilized embryo-derived embryonic stem cells. Before differentiation, karyotype analysis was performed, with normal karyotypes detected in both parthenogenetic and fertilized embryo-derived embryonic stem cells. Sex chromosomes were identified as XX. Immunocytochemistry and quantitative real-time PCR detected high expression of the pluripotent gene, Oct4, at both the mRNA and protein levels, indicating pluripotent differentiation potential of the two embryonic stem cell subtypes. Embryonic stern cells were induced with retinoic acid to form embryoid bodies, and then dispersed into single cells. Single cells were differentiated in N2 differentiation medium for 9 days. Immunocytochemistry showed parthenogenetic and fertilized embryo-derived embryonic stem cells both express the neuronal cell markers nestin, ~lll-tubulin and myelin basic protein. Quantitative real-time PCR found expression of neuregenesis related genes （Sox-1, Nestin, GABA, Pax6, Zic5 and Pitxl） in both types of embryonic stem cells, and Oct4 expression was significantly decreased. Nestin and Pax6 expression in parthenogenetic embryonic stem cells was significantly higher than that in fertilized embryo-derived embryonic stem cells. Thus, our experimental findings indicate that parthenogenetic embryonic stem cells have stronger neuronal differentiation potential than fertilized embryo-derived embryonic stem cells.展开更多
Demand response has recently become an essential means for businesses to reduce production costs in industrial chains.Meanwhile,the current industrial chain structure has also become increasingly complex,forming new c...Demand response has recently become an essential means for businesses to reduce production costs in industrial chains.Meanwhile,the current industrial chain structure has also become increasingly complex,forming new characteristics of multiplex networked industrial chains.Fluctuations in real-time electricity prices in demand response propagate through the coupling and cascading relationships within and among these network layers,resulting in negative impacts on the overall energy management cost.However,existing demand response methods based on reinforcement learning typically focus only on individual agents without considering the influence of dynamic factors on intra and inter-network relationships.This paper proposes a Layered Temporal Spatial Graph Attention(LTSGA)reinforcement learning algorithm suitable for demand response in multiplex networked industrial chains to address this issue.The algorithm first uses Long Short-Term Memory(LSTM)to learn the dynamic temporal characteristics of electricity prices for decision-making.Then,LTSGA incorporates a layered spatial graph attention model to evaluate the impact of dynamic factors on the complex multiplex networked industrial chain structure.Experiments demonstrate that the proposed LTSGA approach effectively characterizes the influence of dynamic factors on intra-and inter-network relationships within the multiplex industrial chain,enhancing convergence speed and algorithm performance compared with existing state-of-the-art algorithms.展开更多
Recently,with the increasing complexity of multiplex Unmanned Aerial Vehicles(multi-UAVs)collaboration in dynamic task environments,multi-UAVs systems have shown new characteristics of inter-coupling among multiplex g...Recently,with the increasing complexity of multiplex Unmanned Aerial Vehicles(multi-UAVs)collaboration in dynamic task environments,multi-UAVs systems have shown new characteristics of inter-coupling among multiplex groups and intra-correlation within groups.However,previous studies often overlooked the structural impact of dynamic risks on agents among multiplex UAV groups,which is a critical issue for modern multi-UAVs communication to address.To address this problem,we integrate the influence of dynamic risks on agents among multiplex UAV group structures into a multi-UAVs task migration problem and formulate it as a partially observable Markov game.We then propose a Hybrid Attention Multi-agent Reinforcement Learning(HAMRL)algorithm,which uses attention structures to learn the dynamic characteristics of the task environment,and it integrates hybrid attention mechanisms to establish efficient intra-and inter-group communication aggregation for information extraction and group collaboration.Experimental results show that in this comprehensive and challenging model,our algorithm significantly outperforms state-of-the-art algorithms in terms of convergence speed and algorithm performance due to the rational design of communication mechanisms.展开更多
With the advancement of electronic information technology and the growth of the intelligent industry,the industrial sector has undergone a shift from simplex,linear,and vertical chains to complex,multi-level,and multi...With the advancement of electronic information technology and the growth of the intelligent industry,the industrial sector has undergone a shift from simplex,linear,and vertical chains to complex,multi-level,and multi-dimensional networked industrial chains.In order to enhance energy efficiency in multiplex networked industrial chains under time-of-use price,a coarse time granularity task scheduling approach has been adopted.This approach adjusts the distribution of electricity supply based on task deadlines,dividing it into longer periods to facilitate batch access to task information.However,traditional simplex-network task assignment optimization methods are unable to achieve a globally optimal solution for cross-layer links in multiplex networked industrial chains.Existing solutions struggle to balance execution costs and completion efficiency in time-of-use price scenarios.Therefore,this paper presents a mixed-integer linear programming model for solving the problem scenario and two algorithms:an exact algorithm based on the branch-and-bound method and a multi-objective heuristic algorithm based on cross-layer policy propagation.These algorithms are designed to adapt to small-scale and large-scale problem scenarios under coarse time granularity.Through extensive simulation experiments and theoretical analysis,the proposed methods effectively optimize the energy and time costs associated with the task execution.展开更多
Stem cells are pivotal players in the intricate dance of embryonic development,tissue maintenance,and regenera-tion.Their behavior is delicately balanced between maintaining their pluripotency and differentiating as n...Stem cells are pivotal players in the intricate dance of embryonic development,tissue maintenance,and regenera-tion.Their behavior is delicately balanced between maintaining their pluripotency and differentiating as needed.Disruptions in this balance can lead to a spectrum of diseases,underscoring the importance of unraveling the com-plex molecular mechanisms that govern stem cell fate.Forkhead box O(FOXO)proteins,a family of transcription factors,are at the heart of this intricate regulation,influencing a myriad of cellular processes such as survival,metabo-lism,and DNA repair.Their multifaceted role in steering the destiny of stem cells is evident,as they wield influence over self-renewal,quiescence,and lineage-specific differentiation in both embryonic and adult stem cells.This review delves into the structural and regulatory intricacies of FOXO transcription factors,shedding light on their pivotal roles in shaping the fate of stem cells.By providing insights into the specific functions of FOXO in determining stem cell fate,this review aims to pave the way for targeted interventions that could modulate stem cell behavior and poten-tially revolutionize the treatment and prevention of diseases.展开更多
Silk fibroin(SF)is considered biocompatible and biodegradable for osteochondral repair.However,it lacks a bioactive domain for cell adhesion,proliferation and differentiation,limiting its therapeutic efficacy.To revam...Silk fibroin(SF)is considered biocompatible and biodegradable for osteochondral repair.However,it lacks a bioactive domain for cell adhesion,proliferation and differentiation,limiting its therapeutic efficacy.To revamp SF as a biomimicking and bioactive microenvironment to regulate cell behaviours,we engineered an elastin-like polypeptide(ELP,Val-Pro-Gly-Xaa-Gly)to modify SF fibers via simple and green dehydrothermal(DHT)treatment.Our results demonstrated that the ELP successfully bound to SF,and the scaffold was reinforced by the fusion of the silk fiber intersections with ELP(S-ELP-DHT)via the DHT treatment.Both bone mesenchymal stem cells(BMSCs)and chondrocytes exhibited improved spreading and proliferation on the S-ELP-DHT scaffolds.The ex vivo and in vivo experiments further demonstrated enhanced mature bone and cartilage tissue formation using the S-ELP-DHT scaffolds compared to the naked SF scaffolds.These results indicated that a recombinant ELPmodified silk scaffold can mimic three-dimensional(3D)cell microenvironment,and improve bone and cartilage regeneration.We envision that our scaffolds have huge clinical potential for osteochondral repair.展开更多
Let g be a(twisted or untwisted)affine Kac-Moody algebra,and μ be a diagram automorphism of g.In this paper,we give an explicit realization for the universal central extensionˆg[μ]of the twisted loop algebra of g wi...Let g be a(twisted or untwisted)affine Kac-Moody algebra,and μ be a diagram automorphism of g.In this paper,we give an explicit realization for the universal central extensionˆg[μ]of the twisted loop algebra of g with respect toμ,which provides a Moody-Rao-Yokonuma presentation for the algebraˆg[μ]whenμis non-transitive,and the presentation is indeed related to the quantization of twisted toroidal Lie algebras.展开更多
Let k be a local field of characteristic zero.Letπbe an irreducible admissible smooth representation of GL2 n(k).We prove that for all but countably many charactersχ’s of GLn(k)×GLn(k),the space ofχ-equivaria...Let k be a local field of characteristic zero.Letπbe an irreducible admissible smooth representation of GL2 n(k).We prove that for all but countably many charactersχ’s of GLn(k)×GLn(k),the space ofχ-equivariant(continuous in the archimedean case)linear functionals onπis at most one dimensional.Using this,we prove the uniqueness of twisted Shalika models.展开更多
基金supported by the National Natural Science Foundation of China(Nos.22077099 and 22171223)the Innovation Capability Support Program of Shaanxi(Nos.2023-CX-TD-75 and 2022KJXX-32)+4 种基金the Technology Innovation Leading Program of Shaanxi(Program No.2023KXJ-209)the Natural Science Basic Research Program of Shaanxi(Nos.2022JQ-151 and 2023-JC-YB-141)Young Talent Fund of Association for Science and Technology in Shaanxi,China(No.SWYY202206)the Shaanxi Fundamental Science Research Project for Chemistry&Biology(Nos.22JHZ010 and 22JHQ080)the Yan’an City Science and Technology Project(No.2022SLZDCY-002).
文摘Sulfydryl-contained(-SH)substances including hydrogen sulfide(H_(2)S),cysteine(Cys),homocysteine(Hcy)and glutathione(GSH)play crucial roles in living systems,and their variations are closely associated with various diseases.Herein,we developed a near-infrared intramolecular charge transfer(ICT)based fluorescent probe Y-NBD,achieving detection of Cys/Hcy and H_(2)S with different fluorescent signals(green-red for Cys/Hcy,red for H_(2)S),large Stokes shifts(∼100/105nm or 191 nm)and high signal-background-ratio,but not responding to GSH.Y-NBD was successfully applied to image exogenous/endogenous Cys/Hcy and H_(2)S in various living cancer cells(HeLa,A549,and HepG2)and in zebrafish.It not only visualized the transformation pathway of several thiols in HepG2 cells but also verified that the intestine is the main site for the activation and metabolism of Y-NBD in zebrafish,as well as realized to evaluate the degree of drug-induced liver injury.This work provides a promising tool for imaging Cys/Hcy and H_(2)S in living systems and shows great potency in evaluating drug-induced liver injury and its treatment.
基金supported by the National Natural Science Foundation of China(Nos.22077099,22171223 and 22307102)the Innovation Capability Support Program of Shaanxi(Nos.2023-CXTD-75 and 2022KJXX-32)+5 种基金the Technology Innovation Leading Program of Shaanxi(Nos.2023KXJ-209 and 2024QCY-KXJ-142)the Key Research and Development Program of Shaanxi(No.2024GHZDXM-22)the Natural Science Basic Research Program of Shaanxi(Nos.2023-JC-YB-141 and 2022JQ-151)Young Talent Fund of Association for Science and Technology in Shaanxi,China(No.SWYY202206)the Shaanxi Fundamental Science Research Project for Chemistry&Biology(Nos.22JHZ010 and 22JHQ080)the Yan’an City Science and Technology Project(No.2022SLZDCY-002)。
文摘Benzo[4,5]imidazo[1,2-a]pyrimidine-based derivatives play crucial roles in medicines,pesticides,tracers and photoelectric materials.However,their synthesis approach still needs to be optimized,and their fluorescent properties in intracellular microenvironment are unclear.Here,a Cu(II)-catalyzed cascade coupling cyclization reaction was successfully developed to synthesize benzo[4,5]imidazo[1,2-a]pyrimidine scaffold with mild reaction conditions,broad substrate scopes and high yields.After a system study,we found that compound 4aa displayed an optimal viscosity-specific response with remarkable fluorescence enhancement(102-fold)for glycerol at 490 nm.Particularly,4aa possessed excellent structure-inherent targeting(SIT)capability for lysosome(P=0.95)with high p H stability and large Stokes shift.Importantly,4aa was validated for its effectiveness in diagnosing lysosomal storage disorders(LSD)in living cells.The 4aa also showed its potential to map the micro-viscosity and its metabolism process in zebrafish.This work not only affords an efficient protocol to fabricate benzo[4,5]imidazo[1,2-a]pyrimidine derivatives,reveals this skeleton has excellent SIT features for lysosome,but also manifests that 4aa can serve as a practical tool to monitor lysosomal viscosity and diagnose LSD.
基金supported by the National Natural Science Foundation of China,No. 30900155 and 81070496the Research Foundation of Education Bureau of Shaanxi Province,China,No. 09JK785+1 种基金Foundation of Interdisciplinary for Postgraduates from Northwest University,No. 08YJC22the Key Laboratory Funding of Northwestern University,Shaanxi Province in China
文摘Parthenogenetic embryonic stem cells have pluripotent differentiation potentials, akin to fertilized embryo-derived embryonic stem cells. The aim of this study was to compare the neuronal differentiation potential of parthenogenetic and fertilized embryo-derived embryonic stem cells. Before differentiation, karyotype analysis was performed, with normal karyotypes detected in both parthenogenetic and fertilized embryo-derived embryonic stem cells. Sex chromosomes were identified as XX. Immunocytochemistry and quantitative real-time PCR detected high expression of the pluripotent gene, Oct4, at both the mRNA and protein levels, indicating pluripotent differentiation potential of the two embryonic stem cell subtypes. Embryonic stern cells were induced with retinoic acid to form embryoid bodies, and then dispersed into single cells. Single cells were differentiated in N2 differentiation medium for 9 days. Immunocytochemistry showed parthenogenetic and fertilized embryo-derived embryonic stem cells both express the neuronal cell markers nestin, ~lll-tubulin and myelin basic protein. Quantitative real-time PCR found expression of neuregenesis related genes （Sox-1, Nestin, GABA, Pax6, Zic5 and Pitxl） in both types of embryonic stem cells, and Oct4 expression was significantly decreased. Nestin and Pax6 expression in parthenogenetic embryonic stem cells was significantly higher than that in fertilized embryo-derived embryonic stem cells. Thus, our experimental findings indicate that parthenogenetic embryonic stem cells have stronger neuronal differentiation potential than fertilized embryo-derived embryonic stem cells.
基金supported by the National Key Research and Development Program of China(No.2022YFB3304400)the National Natural Science Foundation of China(Nos.62303111,62076060,and 61932007)+2 种基金the Key Research and Development Program of Jiangsu Province of China(No.BE2022157)the Defense Industrial Technology Development Program(No.JCKY2021214B002)the Fellowship of China Postdoctoral Science Foundation(No.2022M720715).
文摘Demand response has recently become an essential means for businesses to reduce production costs in industrial chains.Meanwhile,the current industrial chain structure has also become increasingly complex,forming new characteristics of multiplex networked industrial chains.Fluctuations in real-time electricity prices in demand response propagate through the coupling and cascading relationships within and among these network layers,resulting in negative impacts on the overall energy management cost.However,existing demand response methods based on reinforcement learning typically focus only on individual agents without considering the influence of dynamic factors on intra and inter-network relationships.This paper proposes a Layered Temporal Spatial Graph Attention(LTSGA)reinforcement learning algorithm suitable for demand response in multiplex networked industrial chains to address this issue.The algorithm first uses Long Short-Term Memory(LSTM)to learn the dynamic temporal characteristics of electricity prices for decision-making.Then,LTSGA incorporates a layered spatial graph attention model to evaluate the impact of dynamic factors on the complex multiplex networked industrial chain structure.Experiments demonstrate that the proposed LTSGA approach effectively characterizes the influence of dynamic factors on intra-and inter-network relationships within the multiplex industrial chain,enhancing convergence speed and algorithm performance compared with existing state-of-the-art algorithms.
基金supported by the Key Research and Development Program of Jiangsu Province of China(No.BE2022157)the National Natural Science Foundation of China(Nos.62303111,62076060,and 61932007)+1 种基金the Defense Industrial Technology Development Program(No.JCKY2021214B002)the Fellowship of China Postdoctoral Science Foundation(No.2022M720715).
文摘Recently,with the increasing complexity of multiplex Unmanned Aerial Vehicles(multi-UAVs)collaboration in dynamic task environments,multi-UAVs systems have shown new characteristics of inter-coupling among multiplex groups and intra-correlation within groups.However,previous studies often overlooked the structural impact of dynamic risks on agents among multiplex UAV groups,which is a critical issue for modern multi-UAVs communication to address.To address this problem,we integrate the influence of dynamic risks on agents among multiplex UAV group structures into a multi-UAVs task migration problem and formulate it as a partially observable Markov game.We then propose a Hybrid Attention Multi-agent Reinforcement Learning(HAMRL)algorithm,which uses attention structures to learn the dynamic characteristics of the task environment,and it integrates hybrid attention mechanisms to establish efficient intra-and inter-group communication aggregation for information extraction and group collaboration.Experimental results show that in this comprehensive and challenging model,our algorithm significantly outperforms state-of-the-art algorithms in terms of convergence speed and algorithm performance due to the rational design of communication mechanisms.
基金supported by the National Key Research and Development Program of China(No.2022YFB3304400)the National Natural Science Foundation of China(Nos.62303111,62076060,and 61932007)+2 种基金the Key Research and Development Program of Jiangsu Province of China(No.BE2022157)the Defense Industrial Technology Development Program(No.JCKY2021214B002)the Fellowship of China Postdoctoral Science Foundation(No.2022M720715).
文摘With the advancement of electronic information technology and the growth of the intelligent industry,the industrial sector has undergone a shift from simplex,linear,and vertical chains to complex,multi-level,and multi-dimensional networked industrial chains.In order to enhance energy efficiency in multiplex networked industrial chains under time-of-use price,a coarse time granularity task scheduling approach has been adopted.This approach adjusts the distribution of electricity supply based on task deadlines,dividing it into longer periods to facilitate batch access to task information.However,traditional simplex-network task assignment optimization methods are unable to achieve a globally optimal solution for cross-layer links in multiplex networked industrial chains.Existing solutions struggle to balance execution costs and completion efficiency in time-of-use price scenarios.Therefore,this paper presents a mixed-integer linear programming model for solving the problem scenario and two algorithms:an exact algorithm based on the branch-and-bound method and a multi-objective heuristic algorithm based on cross-layer policy propagation.These algorithms are designed to adapt to small-scale and large-scale problem scenarios under coarse time granularity.Through extensive simulation experiments and theoretical analysis,the proposed methods effectively optimize the energy and time costs associated with the task execution.
基金National Natural Science Foundation of China(31900330)Natural Science Basic Research Plan in Shaanxi Province of China(2024JC-YBMS-182).
文摘Stem cells are pivotal players in the intricate dance of embryonic development,tissue maintenance,and regenera-tion.Their behavior is delicately balanced between maintaining their pluripotency and differentiating as needed.Disruptions in this balance can lead to a spectrum of diseases,underscoring the importance of unraveling the com-plex molecular mechanisms that govern stem cell fate.Forkhead box O(FOXO)proteins,a family of transcription factors,are at the heart of this intricate regulation,influencing a myriad of cellular processes such as survival,metabo-lism,and DNA repair.Their multifaceted role in steering the destiny of stem cells is evident,as they wield influence over self-renewal,quiescence,and lineage-specific differentiation in both embryonic and adult stem cells.This review delves into the structural and regulatory intricacies of FOXO transcription factors,shedding light on their pivotal roles in shaping the fate of stem cells.By providing insights into the specific functions of FOXO in determining stem cell fate,this review aims to pave the way for targeted interventions that could modulate stem cell behavior and poten-tially revolutionize the treatment and prevention of diseases.
基金supported by the Departmental General Research Fund of the Hong Kong Polytechnic University(UAH2)the National Natural Science Foundation of P.R.China(No.31670975,21706212)Special Support Plan for High-level Talents,and Innovation Team Program in Shaanxi Province.
文摘Silk fibroin(SF)is considered biocompatible and biodegradable for osteochondral repair.However,it lacks a bioactive domain for cell adhesion,proliferation and differentiation,limiting its therapeutic efficacy.To revamp SF as a biomimicking and bioactive microenvironment to regulate cell behaviours,we engineered an elastin-like polypeptide(ELP,Val-Pro-Gly-Xaa-Gly)to modify SF fibers via simple and green dehydrothermal(DHT)treatment.Our results demonstrated that the ELP successfully bound to SF,and the scaffold was reinforced by the fusion of the silk fiber intersections with ELP(S-ELP-DHT)via the DHT treatment.Both bone mesenchymal stem cells(BMSCs)and chondrocytes exhibited improved spreading and proliferation on the S-ELP-DHT scaffolds.The ex vivo and in vivo experiments further demonstrated enhanced mature bone and cartilage tissue formation using the S-ELP-DHT scaffolds compared to the naked SF scaffolds.These results indicated that a recombinant ELPmodified silk scaffold can mimic three-dimensional(3D)cell microenvironment,and improve bone and cartilage regeneration.We envision that our scaffolds have huge clinical potential for osteochondral repair.
基金supported by National Natural Science Foundation of China(Grant Nos.11531004 and 11701183)the Fundamental Research Funds for the Central Universities(Grant No.20720190069)the Simons Foundation(Grant No.198129)。
文摘Let g be a(twisted or untwisted)affine Kac-Moody algebra,and μ be a diagram automorphism of g.In this paper,we give an explicit realization for the universal central extensionˆg[μ]of the twisted loop algebra of g with respect toμ,which provides a Moody-Rao-Yokonuma presentation for the algebraˆg[μ]whenμis non-transitive,and the presentation is indeed related to the quantization of twisted toroidal Lie algebras.
基金supported by National Natural Science Foundation of China(Grant No.11501478)The second author was supported by National Natural Science Foundation of China(Grant Nos.11525105,11688101,11621061 and 11531008)
文摘Let k be a local field of characteristic zero.Letπbe an irreducible admissible smooth representation of GL2 n(k).We prove that for all but countably many charactersχ’s of GLn(k)×GLn(k),the space ofχ-equivariant(continuous in the archimedean case)linear functionals onπis at most one dimensional.Using this,we prove the uniqueness of twisted Shalika models.
