Strong Gelfand Pairs of the Symplectic Group $\boldsymbol{\rm Sp}_4(q)$ where $q$ is even
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866916924423667712 |
|---|---|
| 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 |