The symmetric group: Algebraic formulas for some S f 6j symbols and S f⊇S f1×S f2 3j m<

DOI10.1063/1.527163zbMath0598.22012OpenAlexW2023453989MaRDI QIDQ3731893

R. Dirl, Richard W. Haase

Publication date: 1986

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527163

zbMATH Keywords

symmetric group6j symbols3jm symbolsButler's recursion method

Mathematics Subject Classification ID

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)

Related Items (3)

Tug-the-hook symmetry for quantum 6j-symbols ⋮ Algebraic expressions for some SO(N) Racah coefficients ⋮ A note on colored HOMFLY polynomials for hyperbolic knots from WZW models

Cites Work

• Special symmetries of jm factors and j symbols
• Coupling, subduction and induction transformations for group representations
• Symmetric and unitary group representations. I. Duality theory
• Algebraic formulas for some nontrivial Un 6j symbols and Um n⊃Um×Un 3j m symbols
• Symmetries of group-subgroup transformation factors for coupling, subduction and induction
• Orientations of point groups-phase choices in the Racah-Wigner algebra
• 3jm and 6j tables for some bases of SU₆and SU₃
• Coupling coefficients and tensor operators for chains of groups
• The decomposition of the tensor product of representations of the symmetric group
• 3jm factors and basis functions for D_∞hand C_∞v
• Unitary Groups: Representations and Decompositions
• The symmetric group: Characters, products and plethysms
• ON THE CHARACTERS OF THE SYMMETRIC GROUP

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