The space of unipotently supported class functions on a finite reductive group

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We determine the Lusztig restrictions on the space of class functions with a unipotent support on a finite reductive group. In particular we give a simple expression for the Lusztig restrictions of the generalized Green functions and we describe the Lusztig restrictions of the generalized Gelfand-Graev representations. We make explicit computations for the Gelfand-Graev representations associated to the subregular unipotent class. In the case of SLn we show that the computations can be reduced to the case of GLn' for various n'.
21 pages

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Group Theory, 20G40

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http://salesiana.dossiersoluciones.com/handle/123456789/64253

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0206076
 http://arxiv.org/abs/math/0206076

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arXiv