Polynomial properties of unipotent radicals of parabolic subgroups in classical groups
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915472207773696 |
|---|---|
| author | Hao, Qingchun Yang, Yang |
| author_facet | Hao, Qingchun Yang, Yang |
| contents | Let $R_u^{X,d}$ denote the unipotent radical of a (proper) maximal standard parabolic subgroup of the classical group $\mathrm{Sp}_{2n}(q)$, $\mathrm{SO}_{2n}(q)$, or $\mathrm U_{2n}({q^2})$. This paper establishes explicit formulas for the number of irreducible characters of $R_u^{X,d}$ with degree $q^e$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_20509 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Polynomial properties of unipotent radicals of parabolic subgroups in classical groups Hao, Qingchun Yang, Yang Group Theory Combinatorics Representation Theory Let $R_u^{X,d}$ denote the unipotent radical of a (proper) maximal standard parabolic subgroup of the classical group $\mathrm{Sp}_{2n}(q)$, $\mathrm{SO}_{2n}(q)$, or $\mathrm U_{2n}({q^2})$. This paper establishes explicit formulas for the number of irreducible characters of $R_u^{X,d}$ with degree $q^e$. |
| title | Polynomial properties of unipotent radicals of parabolic subgroups in classical groups |
| topic | Group Theory Combinatorics Representation Theory |
| url | https://arxiv.org/abs/2508.20509 |