Gelfand-Graev characters of the finite unitary groups

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Gelfand-Graev characters and their degenerate counterparts have an important role in the representation theory of finite groups of Lie type. Using a characteristic map to translate the character theory of the finite unitary groups into the language of symmetric functions, we study degenerate Gelfand-Graev characters of the finite unitary group from a combinatorial point of view. In particular, we give the values of Gelfand-Graev characters at arbitrary elements, recover the decomposition multiplicities of degenerate Gelfand-Graev characters in terms of tableau combinatorics, and conclude with some multiplicity consequences.

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Representation Theory, Combinatorics, 20C33; 05E05

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http://salesiana.dossiersoluciones.com/handle/123456789/119100

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611010
 http://arxiv.org/abs/math/0611010

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arXiv