On algebras of conjugacy classes of symmetric groups with respect to Young subgroups
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912576938442752 |
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| author | Neretin, Yury A. |
| author_facet | Neretin, Yury A. |
| contents | We consider the subalgebra of the group algebra of a symmetric group consisting of functions that are constant on conjugacy classes with respect to a Young subgroup. We write an expression for structure constants of this algebra in the spirit of Hurwitz numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_07148 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On algebras of conjugacy classes of symmetric groups with respect to Young subgroups Neretin, Yury A. Representation Theory Group Theory Rings and Algebras 20B30, 20C05, 14H57, 14H573 We consider the subalgebra of the group algebra of a symmetric group consisting of functions that are constant on conjugacy classes with respect to a Young subgroup. We write an expression for structure constants of this algebra in the spirit of Hurwitz numbers. |
| title | On algebras of conjugacy classes of symmetric groups with respect to Young subgroups |
| topic | Representation Theory Group Theory Rings and Algebras 20B30, 20C05, 14H57, 14H573 |
| url | https://arxiv.org/abs/2509.07148 |