Spectral analysis of generators of representations of the group U(3)

DOI10.1007/BF01041919zbMath0671.22012MaRDI QIDQ1119756

Alexander V. Rozenblyum

Publication date: 1987

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialseigenfunctionsunitary groupinfinitesimal generatorKrawtchouk polynomialsmatrix elementsirreducible unitary representationGelfand-Zetlin basispartial difference operator

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Applications of Lie groups to the sciences; explicit representations (22E70) Linear difference operators (47B39)

Related Items (3)

Matrix elements of SO(3) in sl3 representations as bispectral multivariate functions ⋮ Racah problems for the oscillator algebra, the Lie algebra \(\mathfrak{sl}_n\), and multivariate Krawtchouk polynomials ⋮ Representations of Lie groups and multidimensional special functions

Cites Work

• Classical orthogonal polynomials of a discrete variable and representations of the three-dimensional rotation group
• Representation matrix elements and Clebsch–Gordan coefficients of the semisimple Lie groups

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