In this article, Lie super-bialgebra structures on generalized super-Virasoro algebras/： are considered. It is proved that all such Lie super-bialgebras are coboundary triangular Lie super-bialgebras if and only if H...In this article, Lie super-bialgebra structures on generalized super-Virasoro algebras/： are considered. It is proved that all such Lie super-bialgebras are coboundary triangular Lie super-bialgebras if and only if Hi（ ） = 0.展开更多
The aim of this paper is to introduce and study Hom-Gel＇fand-Dorfman super-bialgebras and Hom-Lie conformal superalgebras. In this paper, we provide different ways for constructing Hom- Gel＇fand-Dorfman super-bialge...The aim of this paper is to introduce and study Hom-Gel＇fand-Dorfman super-bialgebras and Hom-Lie conformal superalgebras. In this paper, we provide different ways for constructing Hom- Gel＇fand-Dorfman super-bialgebras. Also, we obtain some infinite-dimensional Hom-Lie superalgebras from affinization of Hom-Gel＇fand-Dorfman super-bialgebras. Finally, we give a general construction of Hom-Lie conformal superalgebras from Hom-Lie superalgebras and establish the equivalence between quadratic Hom-Lie conformal superalgebras and Hom-Gel＇fand-Dorfman super-bialgebras.展开更多
In t his paper,Lie super-bialgebra st rue tures on the super-BMS3 algebra are considered.It is proved that all such Lie super-bialgebras are triangular coboundary Lie super-bialgebras.The method we use is mainly based...In t his paper,Lie super-bialgebra st rue tures on the super-BMS3 algebra are considered.It is proved that all such Lie super-bialgebras are triangular coboundary Lie super-bialgebras.The method we use is mainly based on the computation of derivations from the super-BMS3 to the tensor product of its adjoint module.展开更多
By the R-matrix of orthosymplectic quantum superalgebra Uq （osp（2l＋ 1｜2n）） in the vector representation, we establish the corresponding quantum Hopf superalgebra OSPq（2l＋ 1｜2n）. Furthermore, it is shown that...By the R-matrix of orthosymplectic quantum superalgebra Uq （osp（2l＋ 1｜2n）） in the vector representation, we establish the corresponding quantum Hopf superalgebra OSPq（2l＋ 1｜2n）. Furthermore, it is shown that OSPq（2l＋ 1｜2n） is coquasitriangular. Keywords R-matrix, super bialgebra, quantum function superalgebras展开更多
基金Supported by the Foundation of Shanghai Education Committee (06FZ029)NSF of China (10471091)"One Hundred Program" from University of Science and Technology of China
文摘In this article, Lie super-bialgebra structures on generalized super-Virasoro algebras/： are considered. It is proved that all such Lie super-bialgebras are coboundary triangular Lie super-bialgebras if and only if Hi（ ） = 0.
基金Supported by National Natural Science Foundation grants of China(Grant No.11301109)the Research Fund for the Doctoral Program of Higher Education(Grant No.20132302120042)
文摘The aim of this paper is to introduce and study Hom-Gel＇fand-Dorfman super-bialgebras and Hom-Lie conformal superalgebras. In this paper, we provide different ways for constructing Hom- Gel＇fand-Dorfman super-bialgebras. Also, we obtain some infinite-dimensional Hom-Lie superalgebras from affinization of Hom-Gel＇fand-Dorfman super-bialgebras. Finally, we give a general construction of Hom-Lie conformal superalgebras from Hom-Lie superalgebras and establish the equivalence between quadratic Hom-Lie conformal superalgebras and Hom-Gel＇fand-Dorfman super-bialgebras.
基金J.C.Sun would like to thank the support of NNSFC grant 11671247H.Y.Yang would like to thank the support of Natural Science Foundation of Shanghai(Grant No.16ZR1415000)NNSFC grants 11771279 and 11801363.
文摘In t his paper,Lie super-bialgebra st rue tures on the super-BMS3 algebra are considered.It is proved that all such Lie super-bialgebras are triangular coboundary Lie super-bialgebras.The method we use is mainly based on the computation of derivations from the super-BMS3 to the tensor product of its adjoint module.
基金Supported by National Natural Science Foundation of China （Grant Nos. 10671016, 10771014） and Foundation of Selected Excellent Science and Technology Activity for Returned Scholars of Beijing
文摘By the R-matrix of orthosymplectic quantum superalgebra Uq （osp（2l＋ 1｜2n）） in the vector representation, we establish the corresponding quantum Hopf superalgebra OSPq（2l＋ 1｜2n）. Furthermore, it is shown that OSPq（2l＋ 1｜2n） is coquasitriangular. Keywords R-matrix, super bialgebra, quantum function superalgebras
