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

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

2002-06-07

arxiv.org/abs/math/0206076v1

Mathematics

Group Theory

21 pages

Scientific paper

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'.

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