We introduce the notion of quantum N-toroidal algebras as natural generalization of the quantum toroidal algebras as well as extended quantized GIM algebras of Nfold affinization.We show that the quantum N-toroidal al...We introduce the notion of quantum N-toroidal algebras as natural generalization of the quantum toroidal algebras as well as extended quantized GIM algebras of Nfold affinization.We show that the quantum N-toroidal algebras are quotients of the extended quantized GIM algebras of N-fold affinization,which generalizes a wellknown result of Berman and Moody for Lie algebras.展开更多
Quantum N-toroidal algebras are generalization of the quantum toroidal al-gebras.In this paper,we construct two types of level-one vertex representations of the quantum N-toroidal algebras in type B,which also realize...Quantum N-toroidal algebras are generalization of the quantum toroidal al-gebras.In this paper,we construct two types of level-one vertex representations of the quantum N-toroidal algebras in type B,which also realize the quantum toroidal algebras of type B as special cases.展开更多
基金the support of NSERC of Canada and NSFC Grant 11931009N.Jing would like to thank the support of Simons Foundation Grant 523868 and NSFC Grants 11531004 and 12171303+1 种基金L.Xia would like to thank the support of NSFC Grants 11871249 and 12171155H.Zhang would like to thank the support of NSFC Grant 11871325.
文摘We introduce the notion of quantum N-toroidal algebras as natural generalization of the quantum toroidal algebras as well as extended quantized GIM algebras of Nfold affinization.We show that the quantum N-toroidal algebras are quotients of the extended quantized GIM algebras of N-fold affinization,which generalizes a wellknown result of Berman and Moody for Lie algebras.
基金Simons Foundation grant 523868,NSFC grants 11531004 and 12171303NSF grants 1014554 and 1137837.+1 种基金NSFC grants 11871325 and 12271332Shanghai Natural Science Foundation grant 22ZR1424600.
文摘Quantum N-toroidal algebras are generalization of the quantum toroidal al-gebras.In this paper,we construct two types of level-one vertex representations of the quantum N-toroidal algebras in type B,which also realize the quantum toroidal algebras of type B as special cases.
