A construction of pseudo-reductive groups with non-reduced root system
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866913187904880640 |
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| author | Bate, Michael Röhrle, Gerhard Sercombe, Damian Stewart, David I. |
| author_facet | Bate, Michael Röhrle, Gerhard Sercombe, Damian Stewart, David I. |
| contents | We describe a straightforward construction of the pseudo-split absolutely pseudo-simple groups of minimal type with irreducible root systems of type $BC_n$; these exist only in characteristic $2$. We also give a formula for the dimensions of their irreducible modules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_00800 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A construction of pseudo-reductive groups with non-reduced root system Bate, Michael Röhrle, Gerhard Sercombe, Damian Stewart, David I. Group Theory 20G15 We describe a straightforward construction of the pseudo-split absolutely pseudo-simple groups of minimal type with irreducible root systems of type $BC_n$; these exist only in characteristic $2$. We also give a formula for the dimensions of their irreducible modules. |
| title | A construction of pseudo-reductive groups with non-reduced root system |
| topic | Group Theory 20G15 |
| url | https://arxiv.org/abs/2205.00800 |