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math.AG2012★ 11 cited
-alcoves and nonemptiness of affine Deligne-Lusztig varieties
Ulrich Goertz, Xuhua He, Sian Nie
We study affine Deligne-Lusztig varieties in the affine flag manifold of an algebraic group, and in particular the question, which affine Deligne-Lusztig varieties are non-empty. U…
math.RT2012
The cocenter of graded affine Hecke algebra and the density theorem
Dan Ciubotaru, Xuhua He
We determine a basis of the (twisted) cocenter of graded affine Hecke algebras with arbitrary parameters. In this setting, we prove that the kernel of the (twisted) trace map is th…