Basic characters of the unitriangular group (for arbitrary primes)

Author:
Carlos A. M. André

Journal:
Proc. Amer. Math. Soc. **130** (2002), 1943-1954

MSC (2000):
Primary 20C15; Secondary 20G40

DOI:
https://doi.org/10.1090/S0002-9939-02-06287-1

Published electronically:
January 17, 2002

MathSciNet review:
1896026

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Abstract | References | Similar Articles | Additional Information

Abstract: Let denote the (upper) unitriangular group of degree over the finite field with elements. In this paper we consider the basic (complex) characters of and we prove that every irreducible (complex) character of is a constituent of a unique basic character. This result extends a previous result which was proved by the author under the assumption , where is the characteristic of the field .

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Additional Information

**Carlos A. M. André**

Affiliation:
Departamento de Matemática e Centro de Estruturas Lineares e Combinatórias, Faculdade de Ciências da Universidade de Lisboa, Rua Ernesto de Vasconcelos, Edifício C1, Piso 3, 1749-016 Lisboa, Portugal

Email:
candre@fc.ul.pt

DOI:
https://doi.org/10.1090/S0002-9939-02-06287-1

Keywords:
Unitriangular group,
irreducible character,
basic character,
coadjoint orbit,
basic subvariety

Received by editor(s):
July 18, 2000

Received by editor(s) in revised form:
February 5, 2001

Published electronically:
January 17, 2002

Communicated by:
Stephen D. Smith

Article copyright:
© Copyright 2002
American Mathematical Society