Semisimple symplectic characters of finite unitary groups

被引：2

作者：

Srinivasan, Bhama ^{[2
]}

Vinroot, C. Ryan ^{[1
]}

机构：

[1] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

[2] Univ Illinois, Dept Math Stat & Comp Sci MC 249, Chicago, IL 60607 USA

来源：

JOURNAL OF ALGEBRA | 2012年 / 351卷 / 01期

基金：

美国国家科学基金会;

关键词：

Semisimple character; Frobenius-Schur indicator; Finite unitary group; Finite reductive group; REAL-VALUED CHARACTERS; REDUCTIVE GROUPS;

D O I：

10.1016/j.jalgebra.2011.08.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G = U(2m, F-q2) be the finite unitary group, with q the power of an odd prime p. We prove that the number of irreducible complex characters of G with degree not divisible by p and with Frobenius-Schur indicator -1 is q(m-1). (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：459 / 466

页数：8

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