Irreducible restrictions of spin representations of symmetric and alternating groups
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916999321354240 |
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| author | Kleshchev, Alexander Morotti, Lucia Tiep, Pham Huu |
| author_facet | Kleshchev, Alexander Morotti, Lucia Tiep, Pham Huu |
| contents | Let $\mathbb{F}$ be an algebraically closed field and $G$ be an almost quasi-simple group. An important problem in representation theory is to classify the subgroups $H<G$ and $\mathbb{F} G$-modules $L$ such that the restriction $L\downarrow_H$ is irreducible. This problem is a natural part of the program of describing maximal subgroups in finite classical groups. In this paper we investigate the case of the problem where $G$ is the Schur's double cover of alternating or symmetric group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_08223 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Irreducible restrictions of spin representations of symmetric and alternating groups Kleshchev, Alexander Morotti, Lucia Tiep, Pham Huu Representation Theory Group Theory Let $\mathbb{F}$ be an algebraically closed field and $G$ be an almost quasi-simple group. An important problem in representation theory is to classify the subgroups $H<G$ and $\mathbb{F} G$-modules $L$ such that the restriction $L\downarrow_H$ is irreducible. This problem is a natural part of the program of describing maximal subgroups in finite classical groups. In this paper we investigate the case of the problem where $G$ is the Schur's double cover of alternating or symmetric group. |
| title | Irreducible restrictions of spin representations of symmetric and alternating groups |
| topic | Representation Theory Group Theory |
| url | https://arxiv.org/abs/2510.08223 |