Work

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

Year: 2024

Type: article

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.

Source: International Journal of Geometric Methods in Modern Physics

DOI: 10.1142/s0219887825400171

Authors: Jean-Pierre Gazeau, Mariano A. del Olmo, Hamed Pejhan

Institutions: Centre National de la Recherche Scientifique, Université Paris Cité, Universidad de Valladolid, Bulgarian Academy of Sciences, Institute of Mathematics and Informatics

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green