Growth Problems for Representations of Finite Groups
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913167312945152 |
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| author | He, David |
| author_facet | He, David |
| contents | We give a general asymptotic formula for the growth rate of the number of indecomposable summands in the tensor powers of representations of finite groups, over a field of arbitrary characteristic. In characteristic zero we obtain additional results, including an exact formula for the growth rate. We compute various examples and also provide code used to compute our formulas. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_04196 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Growth Problems for Representations of Finite Groups He, David Representation Theory Category Theory Primary: 11N45, 18M05, Secondary: 20C15, 20C20 We give a general asymptotic formula for the growth rate of the number of indecomposable summands in the tensor powers of representations of finite groups, over a field of arbitrary characteristic. In characteristic zero we obtain additional results, including an exact formula for the growth rate. We compute various examples and also provide code used to compute our formulas. |
| title | Growth Problems for Representations of Finite Groups |
| topic | Representation Theory Category Theory Primary: 11N45, 18M05, Secondary: 20C15, 20C20 |
| url | https://arxiv.org/abs/2408.04196 |