Coherent states and square integrable representations

Henri Moscovici; Andrei Verona

Displaying similar documents to “Coherent states and square integrable representations”

Classification of connected unimodular Lie groups with discrete series

Anh Nguyen Huu (1980)

Annales de l'institut Fourier

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We introduce a new class of connected solvable Lie groups called $H$ -group. Namely a $H$ -group is a connected solvable Lie group with center $Z$ such that for some $ℓ$ in the Lie algebra $h$ of $H$ , the symplectic for $B_{ℓ}$ on $h / z$ given by $ℓ ([x, y])$ is nondegenerate. Moreover, apart form some technical requirements, it will be proved that a connected unimodular Lie group $G$ with center $Z$ , such that the center of $G / Rad G$ is finite, has discrete series if and only if $G$ may be written as $G = H S^{'}$ , $H \cap S = Z^{0}$ , where $H$ is a $H$ -group with...

Unitary representations of solvable Lie groups

L. Pukanszky (1971)

Annales scientifiques de l'École Normale Supérieure

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Lie groups with smooth characters and with smooth semicharacters

Niels Vigand Pedersen (1983)

Compositio Mathematica

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Geometric constructions and representations

Wolf, Joseph A.

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[For the entire collection see Zbl 0742.00067.]Let $G$ be a connected semisimple Lie group with finite center. In this review article the author describes first the geometric realization of the discrete series representations of $G$ on Dolbeault cohomology spaces and the tempered series of representations of $G$ on partial Dolbeault cohomology spaces. Then he discusses his joint work with Wilfried Schmid on the construction of maximal globalizations of standard Zuckerman modules via geometric...

Introduction to the theory of group representations

Stephen Gelbart (1971-1973)

Séminaire Choquet. Initiation à l'analyse

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