Let G be a reductive p-adic group and let Rep (G) s be a Bernstein block in the category of
smooth complex G-representations. We investigate the structure of Rep (G) s, by analysing …

We define uniformly the notions of Dirac operators and Dirac cohomology in the framework
of the Hecke algebras introduced by Drinfeld (Anal i Prilozhen 20 (1): 69–70, 1986). We …

We define a family of Dirac operators for the Dunkl angular momentum algebra depending
on certain central elements of the group algebra of the Pin cover of the Weyl group inherent …

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 …

For a Weyl group W, we investigate simple closed formulas (valid on elliptic conjugacy
classes) for the character of the representation of W in the homology of a Springer fiber. We …

In this paper, we give a uniform construction of irreducible genuine characters of the Pin
cover W˜ of a Weyl group W, and put them into the context of theory of Springer …

We introduce the notion of spectral transfer morphisms between normalized affine Hecke
algebras, and show that such morphisms induce spectral measure preserving …

Let ℋ (ℛ, q) be an affine Hecke algebra with a positive parameter function q. We are
interested in the topological K-theory of its C∗-completion C r∗(ℛ, q). We prove that K∗(C …

We introduce a notion of elliptic fake degrees for unipotent elliptic representations of a
semisimple-adic group. We conjecture, and verify in some cases, that the relation between …

We introduce the local and global indices of Dirac operators for the rational Cherednik
algebra, where is a complex reflection group acting on a finite-dimensional vector space. We …