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Dan Ciubotaru

  1. On W-structure and formal degrees of discrete series for classical affine Hecke algebras.

    Tue, 01/26/2010 - 16:01 — SomNambul
    Authors: Dan Ciubotaru, Syu Kato
    Subjects: Representation Theory
    Abstract

    We address two fundamental questions in the representation theory of affine
    Hecke algebras of classical types. One is an inductive formula for
    $W$-characters of tempered modules, and the other is the determination of the
    constants in the formal degrees of discrete series (in the form conjectured by
    Reeder \cite{Re}). The former is completely different than the Lusztig-Shoji
    algorithm \cite{Sh, L}, and it is more effective in a number of cases.

  2. Unitary functorial correspondences for p-adic groups.

    Thu, 10/01/2009 - 00:35 — SomNambul
    Authors: Dan Barbasch, Dan Ciubotaru
    Subjects: Representation Theory
    Abstract

    In this paper, we generalize the results of Barbasch-Moy to affine Hecke
    algebras of arbitrary isogeny class with geometric unequal parameters, and
    extended by groups of automorphisms of the root datum.

  3. Generic unipotent standard modules.

    Thu, 10/01/2009 - 00:35 — SomNambul
    Authors: Dan Barbasch, Dan Ciubotaru
    Subjects: Representation Theory
    Abstract

    Using Lusztig's geometric classification, we find the reducibility points of
    a standard module for the affine Hecke algebra, in the case when the inducing
    data is generic. This recovers the known result of Muic-Shahidi for
    representations of split p-adic groups with Iwahori-spherical Whittaker
    vectors. We also give a necessary (insufficient) condition for reducibility in
    the non-generic case.

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