SO(5) Clebsch-Gordan coefficients involving the 14-dimensional representation

2009/04/27 by Igor Salom, Salom, Igor, Djordje Sijacki +1
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebra over a field #Algebraic structures and combinatorial models #Clebsch–Gordan coefficients #FOS: Physical sciences #Group (periodic table) #Irreducible representation #Mathematical Physics (math-ph) #Mathematical analysis #Mathematics #Physics #Pure mathematics #Quantum mechanics #Representation (politics) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.0904.4200

23 pages

arxiv created 2009/04/27 · openalex publication_date 2009/04/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Analytic expressions for the Clebsch-Gordan (CG) coefficients of the SO(5) group that involve the 14-dimensional representation can be found in an old paper of M. K. F. Wong. A careful analysis yields that roughly 30% of the coefficients given in that paper are wrong. The correct analytic expressions for all SO(5) group CG coefficients containing the 14-dimensional representation are obtained.

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