Derangement characters of the full general linear group

Details Derangement characters of the full general linear group Derangement characters of the full general linear group

2004-06-30

arxiv.org/abs/math/0406614v1

Mathematics

Representation Theory

Scientific paper

We focus on derangement characters of $GL(n,q)$ which depend solely on the dimension of the space of fixed vectors. This family includes Thoma characters which become asymptotically irreducible as $n\to\infty$. We find explicit decomposition of Thoma characters into irreducibles, construct further derangement characters and seek for extremes in the family of derangement characters.

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