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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2504.20279 |
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| _version_ | 1866916924423667712 |
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| author | Humphries, Stephen P. Marrow, Joseph E. |
| author_facet | Humphries, Stephen P. Marrow, Joseph E. |
| contents | A strong Gelfand pair $(G,H)$ is a finite group $G$ together with a subgroup $H$ such that every irreducible character of $H$ induces to a multiplicity-free character of $G$. We classify the strong Gelfand pairs of the finite symplectic groups ${\rm Sp}_4(q)$ for even $q$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_20279 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Strong Gelfand Pairs of the Symplectic Group $\boldsymbol{\rm Sp}_4(q)$ where $q$ is even Humphries, Stephen P. Marrow, Joseph E. Representation Theory Combinatorics A strong Gelfand pair $(G,H)$ is a finite group $G$ together with a subgroup $H$ such that every irreducible character of $H$ induces to a multiplicity-free character of $G$. We classify the strong Gelfand pairs of the finite symplectic groups ${\rm Sp}_4(q)$ for even $q$. |
| title | Strong Gelfand Pairs of the Symplectic Group $\boldsymbol{\rm Sp}_4(q)$ where $q$ is even |
| topic | Representation Theory Combinatorics |
| url | https://arxiv.org/abs/2504.20279 |