SEMISIMPLICITY OF HECKE AND (WALLED) BRAUER ALGEBRAS-Reference-Cited by-同舟云学术

SEMISIMPLICITY OF HECKE AND (WALLED) BRAUER ALGEBRAS

Published:2016-10-25 Issue:1 Volume:103 Page:1-44
ISSN:1446-7887
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

ANDERSEN HENNING HAAHR,STROPPEL CATHARINA,TUBBENHAUER DANIEL

Abstract

We show how to use Jantzen’s sum formula for Weyl modules to prove semisimplicity criteria for endomorphism algebras of

$\mathbf{U}_{q}$

-tilting modules (for any field

$\mathbb{K}$

and any parameter

$q\in \mathbb{K}-\{0,-1\}$

). As an application, we recover the semisimplicity criteria for the Hecke algebras of types

$\mathbf{A}$

and

$\mathbf{B}$

, the walled Brauer algebras and the Brauer algebras from our more general approach.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference54 articles.

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5. QUANTUM GROUPS AT ROOTS OF UNITY AND MODULARITY

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