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Main Authors: Gazeau, Jean-Pierre, del Olmo, Mariano A., Pejhan, Hamed
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2411.03031
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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.
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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