Shintani Descent for Special Linear Groups Original Research Article

In this paper, the Shintani descent of irreducible characters of finite special linear groups is discussed. We parametrize irreducible characters ofSLn(Fq) by making use of (modified) generalized Gelfand–Graev characters. Shintani descent of irreducible characters ofSLn(Fqm) is determined by investigating the Shintani descent of generalized Gelfand–Graev characters. Our results hold for arbitrarypandq.