Abstract Let G= Sp (2 n, C) be a complex symplectic group. We introduce a (G×(C×) ℓ+ 1)-
variety N ℓ, which we call the ℓ-exotic nilpotent cone. Then, we realize the Hecke algebra H …

Let $\mathcal R $ be a root datum with affine Weyl group $ W $, and let $\mathcal
H=\mathcal H (\mathcal R, q) $ be an affine Hecke algebra with positive, possibly unequal …

We present simple conditions which guarantee a geometric extension algebra to behave
like a variant of quasi-hereditary algebras. In particular, standard modules of affine Hecke …

We address two fundamental questions in the representation theory of affine Hecke
algebras of classical types. One is an inductive algorithm to compute characters of tempered …

We interpret the orthogonality relation of Kostka polynomials arising from complex reflection
groups (cf [Shoji, Invent. Math. 74 (1983), J. Algebra 245 (2001)] and [Lusztig, Adv. Math. 61 …

We establish a transfer of unitarity for a Bernstein component of the category of smooth
representations of a reductive $ p $-adic group to the associated Hecke algebra, in the …

We classify the spectral transfer morphisms (cf. Opdam in Adv Math 286: 912–957, 2016)
between affine Hecke algebras associated to the unipotent types of the various inner forms …

In this paper, we study extensions of graded affine Hecke algebra modules. In particular,
based on an explicit projective resolution on graded affine Hecke algebra modules, we …

We present simple conditions which guarantee a geometric convolution algebra to behave
like a variant of the quasi-hereditary algebra. In particular, standard modules of the affine …

We define the algebraic Dirac induction map is a Hecke algebra analog of the explicit
realization of the Baum–Connes assembly map in the-algebra of a real reductive group …