Matrix elements and characters of the discrete series (“massive”) unitary irreducible representations of Sp(4, ℝ)

This paper obtains the matrix elements and characters of the discrete series unitary irreducible representations (UIRs) of the Sp[Formula: see text] group. With an isomorphic relationship to the two-fold covering of SO[Formula: see text] (Sp[Formula: see text] SO[Formula: see text]), this group holds particular importance as the kinematical/relativity group within the framework of ([Formula: see text]-dimensional) anti-de Sitter spacetime.

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Publication Details

Journal
International Journal of Geometric Methods in Modern Physics
Published
2024-12-19
DOI
https://doi.org/10.1142/s0219887825400171
Citations
1
Primary Topic
advanced mathematical theories
Type
article
Field-Weighted Citation Impact
0.89

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article

Matrix elements and characters of the discrete series (“massive”) unitary irreducible representations of Sp(4, ℝ)

M. A. del Olmo, Hamed Pejhan, Jean‐Pierre Gazeau
1 citations
International Journal of Geometric Methods in Modern Physics
advanced mathematical theories
0.89
article

Matrix elements and characters of the discrete series (“massive”) unitary irreducible representations of Sp(4, ℝ)

M. A. del Olmo, Hamed Pejhan, Jean‐Pierre Gazeau
article en
1 citations

Abstract

This paper obtains the matrix elements and characters of the discrete series unitary irreducible representations (UIRs) of the Sp[Formula: see text] group. With an isomorphic relationship to the two-fold covering of SO[Formula: see text] (Sp[Formula: see text] SO[Formula: see text]), this group holds particular importance as the kinematical/relativity group within the framework of ([Formula: see text]-dimensional) anti-de Sitter spacetime.

International Journal of Geometric Methods in Modern PhysicsVol. 23(06)
Universidad de Valladolid (ES), Centre National de la Recherche Scientifique (FR), Université Paris Cité (FR), Bulgarian Academy of Sciences (BG), Laboratoire AstroParticule et Cosmologie (FR), Institute of Mathematics and Informatics (BG)
Ministerio de Ciencia, Innovación y Universidades, Bulgarian National Science Fund
Reduced inequalities
Openalex Percentile: Top 25%
advanced mathematical theories
0.89
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