Representations of SU(2) and Jacobi polynomials

2016/06/27 by Tom H. Koornwinder, Koornwinder, Tom H.
Mathematics · #01A60 #22-01 #22E45 #33-01 #33-03 #33C45 #33C80 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1606.08189

openalex publication_date 2016/06/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is a tutorial introduction to the representation theory of SU(2) with emphasis on the occurrence of Jacobi polynomials in the matrix elements of the irreducible representations. The last section traces the history of the insight that Jacobi polynomials occur in the representation theory of SU(2).

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