Algebras of conjugacy classes in symmetric groups
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2016
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| _version_ | 1866916249655574528 |
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| author | Neretin, Yury A. |
| author_facet | Neretin, Yury A. |
| contents | In 1999 V. Ivanov and S. Kerov observed that structure constants of algebras of conjugacy classes of symmetric groups $S_n$ admit a stabilization (in a non-obvious sense) as $n\to \infty$. We extend their construction to a class of pairs of groups $G\supset K$ and algebras of conjugacy classes of $G$ with respect to $K$. In our basic example $G$ is a product of symmetric groups, $G=S_n \times S_n$, $K$ is the diagonal subgroup $S_n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1604_05755 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Algebras of conjugacy classes in symmetric groups Neretin, Yury A. Group Theory Representation Theory 20B30, 20C32, 20E45 In 1999 V. Ivanov and S. Kerov observed that structure constants of algebras of conjugacy classes of symmetric groups $S_n$ admit a stabilization (in a non-obvious sense) as $n\to \infty$. We extend their construction to a class of pairs of groups $G\supset K$ and algebras of conjugacy classes of $G$ with respect to $K$. In our basic example $G$ is a product of symmetric groups, $G=S_n \times S_n$, $K$ is the diagonal subgroup $S_n$. |
| title | Algebras of conjugacy classes in symmetric groups |
| topic | Group Theory Representation Theory 20B30, 20C32, 20E45 |
| url | https://arxiv.org/abs/1604.05755 |