Supercharacters for finite groups of triangular type

We construct a supercharacter theory for the finite groups of triangular type. Its special case is the supercharacter theory for algebra groups of Diaconis and Isaacs. The supercharacter analog of the Kirillov formula for irreducible characters of unipotent groups is proved.

Saved in:
Bibliographic Details
Published in:Communications in algebra 2018-03, Vol.46 (3), p.1032-1046
Main Author: Panov, A. N.
Format: Article
Language:English
Subjects:
Group theory
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We construct a supercharacter theory for the finite groups of triangular type. Its special case is the supercharacter theory for algebra groups of Diaconis and Isaacs. The supercharacter analog of the Kirillov formula for irreducible characters of unipotent groups is proved.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927872.2017.1335738