Level-One Modules of Quantum N-Toroidal Algebras in Type B  

作　　者：Naihuan Jing Zhucheng Xu Honglian Zhang 

机构地区：[1]Department of Mathematics,North Carolina State University Raleigh,NC 27695-8205,USA [2]Department of Mathematics,Shanghai University,Shanghai 200444,China

出　　处：《Algebra Colloquium》2024年第4期559-574,共16页代数集刊（英文版）

基　　金：Simons Foundation grant 523868,NSFC grants 11531004 and 12171303;NSF grants 1014554 and 1137837.;NSFC grants 11871325 and 12271332;Shanghai Natural Science Foundation grant 22ZR1424600.

摘　　要：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.

关 键 词：quantum N-toroidal algebra generating function vertex operator Fock space vertex representation 

分 类 号：O153.3[理学—数学]