Irreducible components of minuscule affine Deligne-Lusztig varieties
Abstract
We examine the set of Jb(F)-orbits in the set of irreducible components of affine Deligne-Lusztig varieties for a hyperspecial subgroup and minuscule coweight μ. Our description implies in particular that its number of elements is bounded by the dimension of a suitable weight space in the Weyl module associated with μ of the dual group.
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