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On regular square integrable representations of padic groups
 AMER. J. MATH
, 1998
"... We study the problem of construction of noncuspidal irreducible square integrable representations of classical padic groups, and questions related to it. Starting from cuspidal reducibilities in the generalized rank one case, we give a construction of regular irreducible square integrable repres ..."
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We study the problem of construction of noncuspidal irreducible square integrable representations of classical padic groups, and questions related to it. Starting from cuspidal reducibilities in the generalized rank one case, we give a construction of regular irreducible square integrable
On SquareIntegrable Representations of Classical padic Groups
 CANAD. J. MATH. VOL. 52 (3), 2000 PP. 539581
, 2000
"... In this paper, we use Jacquet module methods to study the problem of classifying discrete series for the classical padic groups Sp(2n, F)andSO(2n +1, F). ..."
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Cited by 6 (1 self)
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In this paper, we use Jacquet module methods to study the problem of classifying discrete series for the classical padic groups Sp(2n, F)andSO(2n +1, F).
RESTRICTION OF SQUARE INTEGRABLE REPRESENTATIONS, A REVIEW.
"... ABSTRACT. In this note we present a review of some aspects on the problem of restricting square integrable representations of a semisimple Lie group to reductive subgroups. 1. INTRODUCTION. An important problem in representation theory of Lie groups is to understand “branching laws”. That is, given ..."
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ABSTRACT. In this note we present a review of some aspects on the problem of restricting square integrable representations of a semisimple Lie group to reductive subgroups. 1. INTRODUCTION. An important problem in representation theory of Lie groups is to understand “branching laws”. That is, given
Square integrable representations of classical padic groups corresponding to segments
 REPRESENT. THEORY
, 1999
"... Let Sn be either the group Sp(n)orSO(2n +1) overapadic field F. Then Levi factors of maximal parabolic subgroups are (isomorphic to) direct products of GL(k) andSn−k,with1≤k≤n. The square integrable representations which we define and study in this paper (and prove their square integrability), ar ..."
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Cited by 11 (1 self)
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Let Sn be either the group Sp(n)orSO(2n +1) overapadic field F. Then Levi factors of maximal parabolic subgroups are (isomorphic to) direct products of GL(k) andSn−k,with1≤k≤n. The square integrable representations which we define and study in this paper (and prove their square integrability
Integrable and proper actions on C ∗ algebras, and squareintegrable representations of groups
, 1999
"... Abstract. We propose a definition of what should be meant by a proper action of a locally compact group on a C ∗algebra. We show that when the C ∗algebra is commutative this definition exactly captures the usual notion of a proper action on a locally compact space. We then discuss how one might de ..."
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Cited by 15 (0 self)
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of the subject of squareintegrable representations. There is a variety of situations in which actions of locally compact groups on noncommutative C ∗algebras appear to be “proper ” in a way analogous to proper actions of
ON TEMPERED AND SQUARE INTEGRABLE REPRESENTATIONS OF CLASSICAL pADIC GROUPS
, 2012
"... This paper has two aims. The first is to give a description of irreducible tempered representations of classical padic groups which follows naturally the classification of irreducible square integrable representations modulo cuspidal data obtained in [15] and [19]. The second aim of the paper is ..."
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This paper has two aims. The first is to give a description of irreducible tempered representations of classical padic groups which follows naturally the classification of irreducible square integrable representations modulo cuspidal data obtained in [15] and [19]. The second aim of the paper
ON THE FORMAL DEGREES OF SQUAREINTEGRABLE REPRESENTATIONS OF ODD SPECIAL ORTHOGONAL AND METAPLECTIC GROUPS
"... ar ..."
On SquareIntegrable Representations of Classical padic Groups II
 REPRESENTATION THEORY
, 2000
"... In this paper, we continue our study of nonsupercuspidal discrete series for the classical groups Sp(2n, F ), SO(2n +1,F), where F is padic. ..."
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In this paper, we continue our study of nonsupercuspidal discrete series for the classical groups Sp(2n, F ), SO(2n +1,F), where F is padic.
A FAMILY OF SQUARE INTEGRABLE REPRESENTATIONS OF CLASSICAL pADIC GROUPS IN THE CASE OF GENERAL HALFINTEGRAL REDUCIBILITIES
"... Abstract. The main aim of this paper is a presentation of a construction of a large family of noncuspidal irreducible square integrable representations (1; : : :;k; ) of symplectic and oddorthogonal padic groups, starting from the cuspidal representations of the Levi subgroups. The only informa ..."
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Abstract. The main aim of this paper is a presentation of a construction of a large family of noncuspidal irreducible square integrable representations (1; : : :;k; ) of symplectic and oddorthogonal padic groups, starting from the cuspidal representations of the Levi subgroups. The only
Results 1  10
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613