Supercharacter formulas for pattern groups

2006/10/04 by Persi Diaconis, Diaconis, Persi, Nathaniel Thiem +1 · 1 citation
Computer Science · Engineering · Mathematics · #05E #20C #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #graph theory and CDMA systems #math.CO #math.RT #msc:05E #msc:20C

paper · pdf · doi:10.48550/arxiv.math/0610161

arxiv created 2006/10/04 · openalex publication_date 2006/10/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

C. Andre and N. Yan introduced the idea of a supercharacter theory to give a tractable substitute for character theory in wild groups such as the unipotent uppertriangular group U_n(F_q). In this theory superclasses are certain unions of conjugacy classes, and supercharacters are a set of characters which are constant on superclasses. This paper gives a character formula for a supercharacter evaluated at a superclass for pattern groups and more generally for algebra groups.

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