A special class of prime ideals for infinite symmetric group algebras
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918502122651648 |
|---|---|
| author | Coulembier, Kevin |
| author_facet | Coulembier, Kevin |
| contents | We identify an interesting special class of prime ideals in the finitary infinite symmetric group algebra. We show that the set of such ideals carries a semiring structure. Over the complex numbers, we establish a connection with spherical representations of (the Gelfand pair corresponding to) the infinite symmetric group. In positive characteristic, we investigate a close connection with the structure theory of symmetric tensor categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_03309 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A special class of prime ideals for infinite symmetric group algebras Coulembier, Kevin Representation Theory Group Theory We identify an interesting special class of prime ideals in the finitary infinite symmetric group algebra. We show that the set of such ideals carries a semiring structure. Over the complex numbers, we establish a connection with spherical representations of (the Gelfand pair corresponding to) the infinite symmetric group. In positive characteristic, we investigate a close connection with the structure theory of symmetric tensor categories. |
| title | A special class of prime ideals for infinite symmetric group algebras |
| topic | Representation Theory Group Theory |
| url | https://arxiv.org/abs/2507.03309 |