Unitarizable highest weight modules of the conformal group
type: Item
instance of: scholarly article
title: Unitarizable highest weight modules of the conformal group
zbMATH Open document ID: 0497.22018
DOI: 10.1016/S0001-8708(82)80011-X
author: Floyd L. Williams
published in: Advances in Mathematics
publication date: 1982-01-01T00:00:00Z
Mathematics Subject Classification ID: 22E46
zbMATH DE Number: 3783325
zbMATH Keywords: semisimple Lie group
zbMATH Keywords: highest-weight representations
zbMATH Keywords: Segal-Shale-Weil representation
MaRDI profile type: Publication
cites work: Induced representations, reproducing kernels and the conformal group
cites work: Representations of Semisimple Lie Groups IV
cites work: Representations of Semisimple Lie Groups, V
cites work: Representations of Semisimple Lie Groups VI: Integrable and Square-Integrable Representations
cites work: Holomorphic discrete series for the real symplectic group
cites work: Invariant generalized functions in homogeneous domains
cites work: The generalized gamma function, new Hardy spaces, and representations of holomorphic type for the conformal group
cites work: Q5652915
cites work: Bessel functions and representation theory. I
cites work: On Matsushima's formula for the Betti numbers of a locally symmetric space
cites work: Wave and Dirac operators, and representations of the conformal group
cites work: On the Segal-Shale-Weil representations and harmonic polynomials
cites work: Limits of holomorphic discrete series
cites work: All unitary ray representations of the conformal group SU(2,2) with positive energy
cites work: Criteria for the unitarizability of some highest weight modules
cites work: Analytic continuation of the holomorphic discrete series of a semi-simple Lie group
cites work: Distributions on Minkowski space and their connection with analytic representations of the conformal group
cites work: Hermitian Lie Algebras and Metaplectic Representations. I
cites work: The Analytic Continuation of the Discrete Series. II
cites work: Q3954003
cites work: On singular holomorphic representations
cites work: The last possible place of unitarity for certain highest weight modules
description: scientific article; zbMATH DE number 3783325