On a finite type property of certain affine Deligne-Lusztig varieties
classification
🧮 math.AG
keywords
affinetypeassociatedcertaindeligne-lusztigelementsfinitegroup
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We give a new proof of the fact that affine Deligne-Lusztig varieties for an algebraic group of adjoint type, associated with superbasic elements, are of finite type. The proof uses a property of the associated Hecke algebra, which we reprove, and an estimate of the length of certain elements in the affine Weyl group.
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