Character Sums Associated to Finite Coxeter

نویسنده

  • JAN DENEF
چکیده

The main result of this paper is a character sum identity for Cox-eter arrangements over nite elds which is an analogue of Macdonald's conjecture 19] proved by Opdam 21]. 0. Introduction Throughout this paper F will denote a nite eld of characteristic p diierent from 2. We rst slightly reformulate Macdonald's conjecture in a form which has a direct analogue over F. Let G be a nite subgroup of GL n (R) generated by reeections and let q be a positive deenite quadratic form which is invariant under G. Let A G be the associated arrangement consisting of the reeection hyperplanes.

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تاریخ انتشار 1998