Counting irreducible representations of large degree of the upper triangular groups

[摘要] Let U(n)(q) be the upper triangular group of degree n over the finite field F(q) with q elements. In this paper, we present constructions of large degree (complex) irreducible representations of U(n)(q) where n >= 7, and then determine the number of irreducible representations of largest, second largest and third largest degrees. (C) 2010 Elsevier Inc. All rights reserved.

[发布日期] 2010-10-15

[效力级别]  Proceedings Paper

[关键词] Tensor product;Root system;Irreducible characters;Representations