Matrix Elements and Characters of the Discrete Series ("Massive") Unitary Irreducible Representations of Sp(4,R)

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Détails bibliographiques
Auteurs principaux:	Gazeau, Jean-Pierre, del Olmo, Mariano A., Pejhan, Hamed
Format:	Preprint
Publié:	2024
Sujets:	Mathematical Physics Group Theory
Accès en ligne:	Acceder al recurso
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author	Gazeau, Jean-Pierre del Olmo, Mariano A. Pejhan, Hamed
author_facet	Gazeau, Jean-Pierre del Olmo, Mariano A. Pejhan, Hamed
contents	This paper obtains the matrix elements and characters of the discrete series unitary irreducible representations (UIRs) of the Sp$(4,\mathbb{R})$ group. With an isomorphic relationship to the two-fold covering of SO$_0(2,3)$ (Sp$(4,\mathbb{R}) \sim$ SO$_0(2,3)\times \mathbb{Z}_2$), this group holds particular importance as the kinematical/relativity group within the framework of ($1+3$-dimensional) anti-de Sitter spacetime.
format	Preprint
id	arxiv_https___arxiv_org_abs_2411_03031
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Matrix Elements and Characters of the Discrete Series ("Massive") Unitary Irreducible Representations of Sp(4,R) Gazeau, Jean-Pierre del Olmo, Mariano A. Pejhan, Hamed Mathematical Physics Group Theory This paper obtains the matrix elements and characters of the discrete series unitary irreducible representations (UIRs) of the Sp$(4,\mathbb{R})$ group. With an isomorphic relationship to the two-fold covering of SO$_0(2,3)$ (Sp$(4,\mathbb{R}) \sim$ SO$_0(2,3)\times \mathbb{Z}_2$), this group holds particular importance as the kinematical/relativity group within the framework of ($1+3$-dimensional) anti-de Sitter spacetime.
title	Matrix Elements and Characters of the Discrete Series ("Massive") Unitary Irreducible Representations of Sp(4,R)
topic	Mathematical Physics Group Theory
url	https://arxiv.org/abs/2411.03031

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