Two supercharacter theories for the parabolic subgroups in orthogonal and symplectic groups
Representation Theory
2020-03-25 v1
Abstract
We construct two supercharacter theories (in the sense of P. Diaconis and I.M. Isaacs) for the parabolic subgroups in orthogonal and symplectic groups. For each supercharacter theory, we obtain a supercharacter analog of the A.A.Kirillov formula for irreducible characters of finite unipotent groups.
Keywords
Cite
@article{arxiv.2003.10800,
title = {Two supercharacter theories for the parabolic subgroups in orthogonal and symplectic groups},
author = {A. N. Panov},
journal= {arXiv preprint arXiv:2003.10800},
year = {2020}
}
Comments
17 pages