Modified affine Hecke algebras and quiver Hecke algebras of type A

JOURNAL OF ALGEBRA

卷:541

Article

Hu, Jun¹  Li, Fang² 

[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China

[2] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China

关键词: Affine Hecke algebras;    Cyclotomic Hecke algebras;    Quiver Hecke algebras;   

DOI  :  10.1016/j.jalgebra.2019.10.001

来源: Elsevier

【 摘 要 】

We introduce some modified forms for the degenerate and non-degenerate affine Hecke algebras of type A. These are certain subalgebras living inside the inverse limit of cyclotomic Hecke algebras. We construct faithful representations and standard bases for these algebras and give some explicit description of their centers. We show that there are algebra isomorphisms between some generalized Ore localizations of these modified affine Hecke algebras and of the quiver Hecke algebras of type A. As an application, we show that the center conjecture for the cyclotomic quiver Hecke algebra of type A holds if and only if the center conjecture for the cyclotomic Hecke algebra of type A holds. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free