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arXiv · 1702.08287

Irreducible components of minuscule affine Deligne-Lusztig varieties

Paul Hamacher·Eva Viehmann
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Abstract

We examine the set of $J_b(F)$-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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Paul Hamacher, Eva Viehmann. 2019-03-14. Irreducible components of minuscule affine Deligne-Lusztig varieties. https://doi.org/10.2140/ant.2018.12.1611

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