Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2310.15537 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929688292622336 |
|---|---|
| author | Mazorchuk, Volodymyr Srivastava, Shraddha |
| author_facet | Mazorchuk, Volodymyr Srivastava, Shraddha |
| contents | We study analogues of Kronecker coefficients for symmetric inverse semigroups, for dual symmetric inverse semigroups and for the inverse semigroups of bijections between subquotients of finite sets. In all cases we reduce the problem of determination of such coefficients to some group-theoretic and combinatorial problems. For symmetric inverse semigroups, we provide an explicit formula in terms of the classical Kronecker and Littlewood--Richardson coefficients for symmetric groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_15537 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Kronecker coefficients for (dual) symmetric inverse semigroups Mazorchuk, Volodymyr Srivastava, Shraddha Representation Theory Combinatorics We study analogues of Kronecker coefficients for symmetric inverse semigroups, for dual symmetric inverse semigroups and for the inverse semigroups of bijections between subquotients of finite sets. In all cases we reduce the problem of determination of such coefficients to some group-theoretic and combinatorial problems. For symmetric inverse semigroups, we provide an explicit formula in terms of the classical Kronecker and Littlewood--Richardson coefficients for symmetric groups. |
| title | Kronecker coefficients for (dual) symmetric inverse semigroups |
| topic | Representation Theory Combinatorics |
| url | https://arxiv.org/abs/2310.15537 |