Overgroups of exterior powers of an elementary group. Levels
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2022
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910419914850304 |
|---|---|
| author | Lubkov, Roman Nekrasov, Ilia |
| author_facet | Lubkov, Roman Nekrasov, Ilia |
| contents | We prove a first part of the standard description of groups $H$ lying between an exterior power of an elementary group $\bigwedge^m E_n(R)$ and a general linear group $GL_{n \choose m}(R)$ for a commutative ring $R$, $2\in R^*$ and $n\geqslant 3m$. The description uses the classical notion of a level: for every group $H$ we find a unique ideal $A$ of the ground ring $R$ which describes $H$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_13034 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Overgroups of exterior powers of an elementary group. Levels Lubkov, Roman Nekrasov, Ilia Group Theory Representation Theory We prove a first part of the standard description of groups $H$ lying between an exterior power of an elementary group $\bigwedge^m E_n(R)$ and a general linear group $GL_{n \choose m}(R)$ for a commutative ring $R$, $2\in R^*$ and $n\geqslant 3m$. The description uses the classical notion of a level: for every group $H$ we find a unique ideal $A$ of the ground ring $R$ which describes $H$. |
| title | Overgroups of exterior powers of an elementary group. Levels |
| topic | Group Theory Representation Theory |
| url | https://arxiv.org/abs/2201.13034 |