Supercharacters for the finite groups of triangular type

2015/08/24 by А. Н. Панов, Panov, A. N.
Mathematics · #20C05 #22E27 #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1508.05767

openalex publication_date 2015/08/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Related

• Supercharacters of unipotent and solvable groups
• Construction of supercharacter theories of finite groups
• An Algorithm for Constructing All Supercharacter Theories of a Finite Group
• Supercharacter theory for groups of invertible elements of reduced algebras
• Supercharacter formulas for pattern groups