Braid actions on quantum toroidal superalgebras

JOURNAL OF ALGEBRA

卷:585

Article

Bezerra, Luan¹  Mukhin, Evgeny¹ 

[1] Indiana Univ Purdue Univ, Dept Math, 402 N Blackford St,LD 270, Indianapolis, IN 46202 USA

关键词: Quantum toroidal;    Superalgebras;    Braid group;   

DOI  :  10.1016/j.jalgebra.2021.06.012

来源: Elsevier

【 摘 要 】

We prove that the quantum toroidal algebras E-s associated with different root systems s of gl(m vertical bar n) type are isomorphic. We also show the existence of Miki automorphism of E-s, which exchanges the vertical and horizontal subalgebras. To obtain these results, we establish an action of the toroidal braid group on the direct sum circle plus E-s(s) of all such algebras. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free