AbstractWe show that Dirac cohomology of the Jacquet module of a Harish-Chandra module is a Harish-Chandra module for the corresponding Levi subgroup. We obtain an explicit formula of Dirac cohomology of the Jacquet module for most of the principal series, based on our determination of Dirac cohomology of irreducible generalized Verma modules with regular infinitesimal characters
I will discuss recent progress towards the Harish-Chandra classification for simple modules in categ...
We prove that the Jacquet–Langlands correspondence for cohomological automorphic forms on quaternion...
We derive an explicit description of the genuine projective representations of the symmetric group S...
AbstractWe show that Dirac cohomology of the Jacquet module of a Harish-Chandra module is a Harish-C...
Abstract. We extend the setting and a proof of the Vogan’s conjecture on Dirac cohomology to a possi...
International audienceLet G_R be a simple real linear Lie group with maximal compact subgroup K_R an...
This thesis is divided into the following three parts. Chapter 1: Realising the projective represent...
For a complex semisimple Lie algebra g = h ⊕ v where h is a quadratic subalgebra and h and v are ort...
International audienceLet G_R be a simple real linear Lie group with maximal compact subgroup K_R an...
AbstractWe study the relationship between the Dirac cohomology of a (g,K)-module X and the Dirac coh...
We fix a reductive p-adic group G. One very useful tool in the representation theory of reductive p-...
In this dissertation, a generalized version of Dirac cohomology is developed. It is shown that Dirac...
Using differential techniques, we compute the Jacquet module of the locally analytic vectors of irre...
Let Gℝ be a simple real linear Lie group with maximal compact subgroup Kℝ and assume that rank(Gℝ)=r...
Abstract. This paper is a review of results on generalized Harish-Chandra modules in the framework o...
I will discuss recent progress towards the Harish-Chandra classification for simple modules in categ...
We prove that the Jacquet–Langlands correspondence for cohomological automorphic forms on quaternion...
We derive an explicit description of the genuine projective representations of the symmetric group S...
AbstractWe show that Dirac cohomology of the Jacquet module of a Harish-Chandra module is a Harish-C...
Abstract. We extend the setting and a proof of the Vogan’s conjecture on Dirac cohomology to a possi...
International audienceLet G_R be a simple real linear Lie group with maximal compact subgroup K_R an...
This thesis is divided into the following three parts. Chapter 1: Realising the projective represent...
For a complex semisimple Lie algebra g = h ⊕ v where h is a quadratic subalgebra and h and v are ort...
International audienceLet G_R be a simple real linear Lie group with maximal compact subgroup K_R an...
AbstractWe study the relationship between the Dirac cohomology of a (g,K)-module X and the Dirac coh...
We fix a reductive p-adic group G. One very useful tool in the representation theory of reductive p-...
In this dissertation, a generalized version of Dirac cohomology is developed. It is shown that Dirac...
Using differential techniques, we compute the Jacquet module of the locally analytic vectors of irre...
Let Gℝ be a simple real linear Lie group with maximal compact subgroup Kℝ and assume that rank(Gℝ)=r...
Abstract. This paper is a review of results on generalized Harish-Chandra modules in the framework o...
I will discuss recent progress towards the Harish-Chandra classification for simple modules in categ...
We prove that the Jacquet–Langlands correspondence for cohomological automorphic forms on quaternion...
We derive an explicit description of the genuine projective representations of the symmetric group S...
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