Character Sums Associated to Finite Coxeter
نویسنده
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.
منابع مشابه
Character Sums Associated to Finite Coxeter Groups
The main result of this paper is a character sum identity for Coxeter arrangements over finite fields which is an analogue of Macdonald’s conjecture [19] proved by Opdam [21]. 0. Introduction Throughout this paper F will denote a finite field of characteristic p different from 2. We first slightly reformulate Macdonald’s conjecture in a form which has a direct analogue over F. Let G be a finite...
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تاریخ انتشار 1998