The regular character of the unitriangular group

DOI10.1006/jabr.1997.7258zbMath0912.20035OpenAlexW2028267954MaRDI QIDQ1268087

Carlos A. M. André

Publication date: 26 May 1999

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1997.7258

zbMATH Keywords

irreducible complex charactersupper triangular matricesunimodular groupsregular character

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05)

Related Items (8)

A super-class walk on upper-triangular matrices ⋮ The random walk on upper triangular matrices over \(\mathbb{Z} / m\mathbb{Z}\) ⋮ Supercharacters of discrete algebra groups ⋮ Super-character theory and comparison arguments for a random walk on the upper triangular matrices ⋮ Orbit method for \(p\)-Sylow subgroups of finite classical groups ⋮ The basic character table of the unitriangular group ⋮ Basic characters of the unitriangular group (for arbitrary primes) ⋮ Representations of Gelfand-Graev type for the unitriangular group.

Cites Work

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• Representations of finite Chevalley groups. A survey
• Proof of Springer's hypothesis
• Conjugacy classes in algebraic groups. Notes by Vinay V. Deodhar
• Basic characters of the unitriangular group
• Basic sums of coadjoint orbits of the unitriangular group
• On the coadjoint orbits of the unitriangular group
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• Uniform convergence and decay of Fourier series on compact nilmanifolds
• Sur les Representations Unitaires des Groupes de Lie Nilpotents. IV

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