Abstract:Let G be a connected reductive group over a non-archimedean local field F and I be an Iwahori subgroup of G(F ). Let In is the n-th Moy-Prasad filtration subgroup of I. The purpose of this paper is two-fold: to give some nice presentations of the Hecke algebra of connected, reductive groups with In-level structure; and to introduce the Tits group of the Iwahori-Weyl group of groups G that split over an unramified extension of F .The first main result of this paper is a presentation of the Hecke algebra H(G(F )… Show more
This paper gives an explicit formula of the dimension of affine Deligne-Lusztig varieties associated with generic Newton point in terms of Demazure product of Iwahori-Weyl groups.
This paper gives an explicit formula of the dimension of affine Deligne-Lusztig varieties associated with generic Newton point in terms of Demazure product of Iwahori-Weyl groups.
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