Basic Sets for Unipotent Blocks of Finite Reductive Groups in Bad Characteristic-Reference-Cited by-同舟云学术

Basic Sets for Unipotent Blocks of Finite Reductive Groups in Bad Characteristic

Published:2020-02-20 Issue:16 Volume:2021 Page:12613-12638
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Chaneb Reda¹

Affiliation:

1. Université Paris Diderot, UFR de Mathématiques, Bâtiment Sophie Germain, 5 rue Thomas Mann, 75205 Paris CEDEX 13, France

Abstract

Abstract We show the existence of a unitriangular basic set for unipotent blocks of simple reductive groups of classical type in bad characteristic with some exceptions. Then, we introduce an algorithm to count unipotent irreducible Brauer characters and we verify that this algorithm is effective for exceptional adjoint groups.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/article-pdf/2021/16/12613/42296708/rnaa019.pdf

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