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The generic superintegrable system on the 3-sphere and the \(9j\) symbols of \(\mathfrak{su}(1,1)\)

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Publication:2339227
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DOI10.3842/SIGMA.2014.108zbMath1312.81096arXiv1404.0876MaRDI QIDQ2339227

Luc Vinet, Vincent X. Genest

Publication date: 31 March 2015

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.0876


zbMATH Keywords

superintegrable systems\(\mathfrak{su}(1\(9j\) symbols1)\) algebra


Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50) Canonical forms, reductions, classification (15A21) Representations of group algebras (22D20)


Related Items (3)

The generic quantum superintegrable system on the sphere and Racah operators ⋮ Symmetry algebra for the generic superintegrable system on the sphere ⋮ Generating function for the Bannai-Ito polynomials




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