Semisimple symplectic characters of finite unitary groups

JOURNAL OF ALGEBRA

卷:351

Article

Srinivasan, Bhama²  Vinroot, C. Ryan¹ 

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

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

关键词: Semisimple character;    Frobenius-Schur indicator;    Finite unitary group;    Finite reductive group;   

DOI  :  10.1016/j.jalgebra.2011.08.012

来源: Elsevier

【 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.

【 授权许可】

Free