Basic characters of the unitriangular group (for arbitrary primes)

被引：51

作者：

André, CAM

机构：

[1] Univ Lisbon, Dept Matemat, P-1749016 Lisbon, Portugal

[2] Univ Lisbon, Fac Ciencias, Ctr Estruturas Lineares & Combinatorias, P-1749016 Lisbon, Portugal

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 130卷 / 07期

关键词：

unitriangular group; irreducible character; basic character; coadjoint orbit; basic subvariety;

D O I：

10.1090/S0002-9939-02-06287-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let U-n(q) denote the (upper) unitriangular group of degree n over the finite field F-q with q elements. In this paper we consider the basic (complex) characters of U-n(q) and we prove that every irreducible (complex) character of U-n(q) is a constituent of a unique basic character. This result extends a previous result which was proved by the author under the assumption p greater than or equal to n, where p is the characteristic of the field F-q.

引用

页码：1943 / 1954

页数：12

共 12 条

[1] BASIC CHARACTERS OF THE UNITRIANGULAR GROUP [J].