Fields of character values for finite special unitary groups

A. A. Schaeffer Fry and C. Ryan Vinroot

Vol. 300 (2019), No. 2, 473–489

DOI: 10.2140/pjm.2019.300.473

Abstract

Turull has described the fields of values for characters of ${SL}_n\left(q\right)$ in terms of the parametrization of the characters of ${GL}_n\left(q\right)$. In this article, we extend these results to the case of ${SU}_n\left(q\right)$.

Keywords

finite special unitary groups, fields of character values, generalized Gelfand–Graev characters

Mathematical Subject Classification 2010

Primary: 20C15, 20C33

Milestones

Received: 8 March 2018

Revised: 13 September 2018

Accepted: 29 September 2018

Published: 30 July 2019