On quantum toroidal algebra of type A1

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:226

Article

Chen, Fulin¹  Jing, Naihuan²  Kong, Fei³  Tan, Shaobin¹ 

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

[2] North Carolina State Univ, Dept Math, Raleigh, NC 27695 USA

[3] Hunan Normal Univ, Sch Math & Stat, Key Lab Comp & Stochast Math, Minist Educ, Changsha 410081, Peoples R China

关键词: Quantum toroidal algebra;    Triangular decomposition;    Hopf algebra;   

DOI  :  10.1016/j.jpaa.2021.106814

来源: Elsevier

【 摘 要 】

In this paper we introduce a new quantum algebra which specializes to the 2-toroidal Lie algebra of type A(1). We prove that this quantum toroidal algebra has a natural triangular decomposition, a (topological) Hopf algebra structure and a vertex operator realization. (C) 2021 Elsevier B.V. All rights reserved.

【 授权许可】

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