Realizations of coupled vectors in the tensor product of representations of \(\mathfrak{su}(1,1)\) and \(\mathfrak{su}(2)\)
type: Item
instance of: scholarly article
title: Realizations of coupled vectors in the tensor product of representations of \(\mathfrak{su}(1,1)\) and \(\mathfrak{su}(2)\)
zbMATH Open document ID: 1056.17007
DOI: 10.1016/S0377-0427(03)00622-8
published in: Journal of Computational and Applied Mathematics
publication date: 2003-11-20T00:00:00Z
Mathematics Subject Classification ID: 17B15
Mathematics Subject Classification ID: 33C70
Mathematics Subject Classification ID: 33C80
Mathematics Subject Classification ID: 81R05
zbMATH DE Number: 2006426
zbMATH Keywords: Multiple hypergeometric series
zbMATH Keywords: Tensor products
zbMATH Keywords: Realizations
zbMATH Keywords: Coupling coefficient
author: S. Lievens
author: J Van der Jeugt
describes a project that uses: NJFORMULA
MaRDI profile type: Publication
cites work: Weight Lowering Operators and the Multiplicity-Free Isoscalar Factors for the Group R5
cites work: Q4222737
cites work: A Set of Orthogonal Polynomials That Generalize the Racah Coefficients or $6 - j$ Symbols
cites work: Q4760447
cites work: Q3929699
cites work: EXPANSIONS OF HYPERGEOMETRIC FUNCTIONS
cites work: On bounds for the rotation distance between binary coupling trees
cites work: New efficient programs to calculate general recoupling coefficients. I: Generation of a summation formula
cites work: Convolutions for Orthogonal Polynomials from Lie and Quantum Algebra Representations
cites work: 3nj-coefficients of su(1,1) as connection coefficients between orthogonal polynomials in n variables
cites work: Theory of Complex Spectra. IV
cites work: On the triple sum formula for Wigner 9j-symbols
cites work: Multilinear Hankel forms of higher order and orthogonal polynomials
cites work: Q5833348
cites work: Q5508372
cites work: Q3712504
cites work: Q4441507
cites work: Q3345085
cites work: Coupling coefficients for Lie algebra representations and addition formulas for special functions
cites work: Hypergeometric series related to the \(9-j\) coefficient of \({\mathfrak{su}}(1,1)\)
cites work: Realizations of su(1,1) and Uq(su(1,1)) and generating functions for orthogonal polynomials
cites work: Q4002496
cites work: Q3256710
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description: scientific article; zbMATH DE number 2006426