Minimal Newton strata in Iwahori double cosets

2019/03/05 by Viehmann, Eva · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1903.02038

Abstract

The set of Newton strata in a given Iwahori double coset in the loop group of a reductive group G is indexed by a finite subset of the set B(G) of Frobenius-conjugacy classes. For unramified G we show that it has a unique minimal element and determine this element. Under a regularity assumption we also compute the dimension of the corresponding Newton stratum. We derive corresponding results for affine Deligne-Lusztig varieties.

Cited by

• Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements

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