105 citations · 120 across the 14 of their papers we have counts for
6 papers · 1 filter
A computational approach to the Frobenius-Schur indicators of finite exceptional groups
Stephen Trefethen, C. Ryan Vinroot
We prove that the finite exceptional groups , , and have no irreducible complex characters with Frobenius-Schur indicator , and we list e…
Fields of Character Values for Finite Special Unitary Groups
A. A. Schaeffer Fry, C. Ryan Vinroot
Turull has described the fields of values for characters of in terms of the parametrization of the characters of . In this article, we extend these results to th…
Klyachko models of p-adic special linear groups
Joshua M. Lansky, C. Ryan Vinroot
We study Klyachko models of , where is a nonarchimedean local field. In particular, using results of Klyachko models for due to Heumos, Rallis,…
Character degree sums and real representations of finite classical groups of odd characteristic
C. Ryan Vinroot
Let be a finite field with elements, where is the power of an odd prime, and let and d…
Extending real-valued characters of finite general linear and unitary groups on elements related to regular unipotents
Rod Gow, C. Ryan Vinroot
When n is odd, consider the finite general linear and unitary groups of rank n, extended by the inverse transpose automorphism. There are elements in the extended groups which squa…
On the characteristic map of finite unitary groups
Nathaniel Thiem, C. Ryan Vinroot
In his classic book on symmetric functions, Macdonald describes a remarkable result by Green relating the character theory of the finite general linear group to transition matrices…