\(U(n)\) Wigner coefficients, the path sum formula, and invariant G-functions

DOI10.1016/0196-8858(85)90015-6zbMath0586.33015OpenAlexW2025871391MaRDI QIDQ1071920

L. C. Biedenharn, Stephen C. Milne, Robert A. Gustafson

Publication date: 1985

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(85)90015-6

zbMATH Keywords

tensor operatorsunitary groupsG-functionsWigner coefficientstensor representations

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Related Items

Tensor operator I The concept of a coerent tensor operator, A q-analog of the \(_5F_4(1)\) summation theorem for hypergeometric series well-poised in \(SU(n)\), An elementary proof of the Macdonald identities for \(A_{\ell}^{(1)}\), A new symmetry related to SU(n) for clasical basic hypergeometric series, A new symmetry for Biedenharn's G-functions and classical hypergeometric series, A q-analog of hypergeometric series well-poised in SU(n) and invariant G-functions, A q-analog of transposition symmetry for invariant G-functions

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