Derangement characters of the full general linear group

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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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Representation Theory, Combinatorics, 20C15

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http://salesiana.dossiersoluciones.com/handle/123456789/71730

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406614
 http://arxiv.org/abs/math/0406614

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arXiv