In this paper, we consider unitary representations of classical groups of equal rank (rank G = rank K) except type CI with regular lambda-lowest K-type and get the necessary and sufficient condition such that those unitary representations considered have nonzero Dirac cohomology.MathematicsSCI(E)2ARTICLE2285-30221
AbstractWe show that in the presence of suitable commutator estimates, a projective unitary represen...
Let G be a real semisimple Lie group with finite center. Let g0 = k0 ⊕ p0 be a Cartan decomposition ...
We obtain non-vanishing of group L^p-cohomology of Lie groups for p large and when the degree is equ...
This thesis studies the problem that for an irreducible unitary representation, what kind of its K-t...
Let G be a noncompact simple Lie group with finite center, let K be a maximal compact subgroup, and ...
Summary. The aim of this article is to explain how the Dirac cohomology and a proved conjecture of V...
Poguntke D. Unitary representations of Lie groups and operators of finite rank. Annals of Mathematic...
A fundamental problem in representation theory is to determine the unitary dual G ̂ of a given (real...
Let $G$ be a connected simply connected noncompact classical simple Lie group of Hermitian type. The...
Let G be a connected real reductive Lie group with a maximal compact subgroup K corresponding to a C...
Generic irreducible unitary representations of classical groups have been classi-fied in [LMT]. The ...
In this paper we continue to study Belavin-Drinfeld cohomology introduced in Kadets et al., Commun. ...
In the present article we discuss the classification of quantum groups whose quasi-classical limit i...
AbstractWe prove gap results for the low-dimensional representation of unitary groups in nondefining...
1.1. Lie groups and algebras. A Lie groupG is a group which is also a smooth manifold, in such a way...
AbstractWe show that in the presence of suitable commutator estimates, a projective unitary represen...
Let G be a real semisimple Lie group with finite center. Let g0 = k0 ⊕ p0 be a Cartan decomposition ...
We obtain non-vanishing of group L^p-cohomology of Lie groups for p large and when the degree is equ...
This thesis studies the problem that for an irreducible unitary representation, what kind of its K-t...
Let G be a noncompact simple Lie group with finite center, let K be a maximal compact subgroup, and ...
Summary. The aim of this article is to explain how the Dirac cohomology and a proved conjecture of V...
Poguntke D. Unitary representations of Lie groups and operators of finite rank. Annals of Mathematic...
A fundamental problem in representation theory is to determine the unitary dual G ̂ of a given (real...
Let $G$ be a connected simply connected noncompact classical simple Lie group of Hermitian type. The...
Let G be a connected real reductive Lie group with a maximal compact subgroup K corresponding to a C...
Generic irreducible unitary representations of classical groups have been classi-fied in [LMT]. The ...
In this paper we continue to study Belavin-Drinfeld cohomology introduced in Kadets et al., Commun. ...
In the present article we discuss the classification of quantum groups whose quasi-classical limit i...
AbstractWe prove gap results for the low-dimensional representation of unitary groups in nondefining...
1.1. Lie groups and algebras. A Lie groupG is a group which is also a smooth manifold, in such a way...
AbstractWe show that in the presence of suitable commutator estimates, a projective unitary represen...
Let G be a real semisimple Lie group with finite center. Let g0 = k0 ⊕ p0 be a Cartan decomposition ...
We obtain non-vanishing of group L^p-cohomology of Lie groups for p large and when the degree is equ...