Deligne-lusztig Duality and Wonderful Compactification
نویسندگان
چکیده
We use geometry of the wonderful compactification to obtain a new proof of the relation between Deligne-Lusztig (or AlvisCurtis) duality for p-adic groups to homological duality. This provides a new way to introduce an involution on the set of irreducible representations of the group, which has been earlier defined by A. Zelevinsky for G = GL(n) by A.-M. Aubert in general. As a byproduct we describe the Serre functor for representations of a p-adic group. To Sasha Beilinson, with admiration and best wishes for his birthday.
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