The regular character of the unitriangular group
type: Item
instance of: scholarly article
title: The regular character of the unitriangular group
zbMATH Open document ID: 0912.20035
author: Carlos A. M. André
published in: Journal of Algebra
publication date: 1999-05-26T00:00:00Z
review text: Let \(U_n(q)\) denote the set of all the upper triangular matrices with 1 along the main diagonal over the finite field \(\text{GF}(q)\) where \(q=p^e\) is a power of the prime \(p\). In a previous paper [J. Algebra 175, No. 1, 287-319 (1995; Zbl 0835.20052)], the author described some of the irreducible complex characters of the group \(U_n(q)\). In the paper under review, the author decomposes the regular character of \(U_n(q)\) in terms of certain characters of \(U_n(q)\).
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 20G40
zbMATH DE Number: 1211653
zbMATH Keywords: unimodular groups
zbMATH Keywords: upper triangular matrices
zbMATH Keywords: irreducible complex characters
zbMATH Keywords: regular character
reviewed by: M. R. Darafsheh
MaRDI profile type: Publication
full work available at URL: jabr.1997.7258
OpenAlex ID: W2028267954
cites work: Basic characters of the unitriangular group
cites work: Basic sums of coadjoint orbits of the unitriangular group
cites work: On the coadjoint orbits of the unitriangular group
cites work: Uniform convergence and decay of Fourier series on compact nilmanifolds
cites work: Sur les Representations Unitaires des Groupes de Lie Nilpotents. IV
cites work: Q4089001
cites work: Proof of Springer's hypothesis
cites work: UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
cites work: Q4063615
cites work: Representations of finite Chevalley groups. A survey
cites work: Conjugacy classes in algebraic groups. Notes by Vinay V. Deodhar
DOI: 10.1006/JABR.1997.7258
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description: scientific article; zbMATH DE number 1211653