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THE DECOMPOSITION OF PERMUTATION MODULE FOR INFINITE CHEVALLEY GROUPS, II

Part of: Linear algebraic groups and related topics Special aspects of infinite or finite groups Representation theory of groups

Published online by Cambridge University Press:  27 December 2024

JUNBIN DONG Open the ORCID record for JUNBIN DONG [Opens in a new window]
JUNBIN DONG*
Affiliation:
Institute of Mathematical Sciences ShanghaiTech University Shanghai 201210 China [email protected]
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Abstract

Let $\mathbf {G}$ be a connected reductive algebraic group over an algebraically closed field $\Bbbk $ and ${\mathbf B}$ be a Borel subgroup of ${\mathbf G}$. In this paper, we completely determine the composition factors of the permutation module $\mathbb {F}[{\mathbf G}/{\mathbf B}]$ for any field $\mathbb {F}$.

Keywords

Chevalley grouppermutation moduleflag variety

MSC classification

Primary: 20C07: Group rings of infinite groups and their modules 20G05: Representation theory
Secondary: 20F18: Nilpotent groups
Type
Article
Information
Nagoya Mathematical Journal , First View , pp. 1 - 14
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of Foundation Nagoya Mathematical Journal

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