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| Main Author: | |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2111.01443 |
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| _version_ | 1866915263981551616 |
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| author | Dong, Junbin |
| author_facet | Dong, Junbin |
| contents | Let $\bf G$ be a connected reductive algebraic group over an algebraically closed field $\Bbbk$ and ${\bf B}$ be an Borel subgroup of ${\bf G}$. In this paper we completely determine the composition factors of the permutation module $\mathbb{F}[{\bf G}/{\bf B}]$ for any field $\mathbb{F}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_01443 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | The decomposition of permutation module for infinite Chevalley groups, II Dong, Junbin Representation Theory Let $\bf G$ be a connected reductive algebraic group over an algebraically closed field $\Bbbk$ and ${\bf B}$ be an Borel subgroup of ${\bf G}$. In this paper we completely determine the composition factors of the permutation module $\mathbb{F}[{\bf G}/{\bf B}]$ for any field $\mathbb{F}$. |
| title | The decomposition of permutation module for infinite Chevalley groups, II |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2111.01443 |