Reference Request: Characters of Finite General Linear Groups

Question

I've been looking at J.A. Green's article The Characters of Finite General Linear Groups and it seems that Green in this article comes up with a way of calculating all irreducible characters of a given general linear group over a finite field $GL_n(\mathbb{F}_q)$, where $q$ is a prime power.

The article is quite old though, and really tough to read. Would anyone happen to know a more recent or more easily digestible source for this material?

Thanks!

Answer 1

I hope that following references help you:

1.M.R Darafsheh, On some characters of $GL_n(\mathbb F)$, J Pure and Apple Algebra, 1985, 247-252.

2.R. Gow, Some characters of Affine subgroup of classical linear group, j London math Soc, 1976, 231-238.

3.R. Gow, Properties of the characters of the finite general linear groups related to transpose-inverse involution, Proc London Math Soc, 1983, 493-506.

4.A.O. Morris The characters of the group $GL_n(q)$, Math. Zeitscher, 1963, 112-123.

5.Pharm Huu Tiep, A. E. Zalesski, Minimal characters of the finite classical groups, Comm in algebra, 1995, 2093-2167.