Periods of Deligne-Lusztig Characters associated to Spherical Varieties
Abstract
In this paper, we calculate the periods of Deligne-Lusztig characters RT,G associated to XF, where X=G/H for a connected spherical subgroup H of G. As an application, we deduce a formula that partially generalizes Lusztig's work on symmetric spaces and extends Reeder's formula in the complexity 0 case.
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