Linear groups of alternating type containing non-scalar elements with all but one eigenvalues of multiplicity 1
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_ | 1866912574658838528 |
|---|---|
| author | Zalesski, Alexandre |
| author_facet | Zalesski, Alexandre |
| contents | We determine the irreducible representations of alternating and symmetric groups and their universal central extensions that contain a non-scalar element with all but one eigenvalues of multiplicity 1. The ground field is algebraically closed of arbitrary characteristic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_05770 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Linear groups of alternating type containing non-scalar elements with all but one eigenvalues of multiplicity 1 Zalesski, Alexandre Representation Theory Group Theory 20B15, 20H30 We determine the irreducible representations of alternating and symmetric groups and their universal central extensions that contain a non-scalar element with all but one eigenvalues of multiplicity 1. The ground field is algebraically closed of arbitrary characteristic. |
| title | Linear groups of alternating type containing non-scalar elements with all but one eigenvalues of multiplicity 1 |
| topic | Representation Theory Group Theory 20B15, 20H30 |
| url | https://arxiv.org/abs/2509.05770 |