Stratifying endomorphism algebras using exact categories

JOURNAL OF ALGEBRA

卷:475

Article

Du, Jie¹  Parshall, Brian J.²  Scott, Leonard L.² 

[1] Univ New South Wales UNSW, Sch Math & Stat, Sydney, NSW 2052, Australia

[2] Univ Virginia, Dept Math, Charlottesville, VA 22903 USA

关键词: Stratified algebra;    Hecke algebra;    Left cell;    Endomorphism algebra;    Exact category;   

DOI  :  10.1016/j.jalgebra.2016.11.002

来源: Elsevier

【 摘 要 】

This paper constructs enlargements of Hecke algebras over Z[t,t(-1)] to certain standardly stratified algebras. The latter are obtained as endomorphism algebras of modules with dual left cell module filtrations in the sense of Kazhdan Lusztig. A novel feature of the proofs is the use of suitably chosen exact categories to avoid difficult Ext(l)-vanishing conditions. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free