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TAME BLOCK ALGEBRAS OF HECKE ALGEBRAS OF CLASSICAL TYPE

Part of: Representation theory of rings and algebras Representation theory of groups

Published online by Cambridge University Press:  20 September 2019

SUSUMU ARIKI
SUSUMU ARIKI*
Affiliation:
Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University, 1-5 Yamadaoka, Suita, Osaka565-0871, Japan e-mail: ariki@ist.osaka-u.ac.jp
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Abstract

We classify tame block algebras of Hecke algebras of classical type over an algebraically closed field of characteristic not equal to two.

Keywords

Hecke algebratame representation typetilting mutation

MSC classification

Primary: 20C08: Hecke algebras and their representations
Secondary: 20C33: Representations of finite groups of Lie type 16G20: Representations of quivers and partially ordered sets 16G60: Representation type (finite, tame, wild, etc.)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 111 , Issue 2 , October 2021 , pp. 179 - 201
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Copyright
© 2019 Australian Mathematical Publishing Association Inc.

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Footnotes

Communicated by A. Henderson

On the occasion of Professor Richard Dipper’s retirement

This research is supported in part by JSPS Grants-in-Aid for Scientific Research Grant Number JP18K03212.

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