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The Decomposition of Permutation Module for Infinite Chevalley Groups, Ii

Year: 2024
Type: article
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 $\mathbb {F}$ .
Author: JUNBIN DONG
Language: English
Open Access status: green
OpenAlex ID: W4405829030
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Cites: 9
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Related to: 10