Racah sum rule and Biedenharn–Elliott identity for the super-rotation 6−j symbols

DOI10.1063/1.530831zbMath0832.17005arXivhep-th/9402040OpenAlexW2078435961MaRDI QIDQ4327229

Stoyan Toshev, Pierre Minnaert

Publication date: 5 April 1995

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

Full work available at URL: https://arxiv.org/abs/hep-th/9402040

zbMATH Keywords

Biedenharn-Elliott identityrecoupling coefficientsRacah sum rule\(6- j\) symbolssuper-rotation \(\mathfrak {osp} (1/2)\) superalgebra

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Superalgebras (17A70) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (2)

Unusual sum rule for Clebsch-Gordan coefficients ⋮ Representation properties, Racah sum rule, and Biedenharn–Elliott identity for Uq(osp(1|2))

Cites Work

• The group with Grassmann structure UOSP(1.2)
• Racah–Wigner calculus for the super-rotation algebra. I
• Semisimple graded Lie algebras
• Graded Lie algebras: Generalization of Hermitian representations
• The super-rotation Racah–Wigner calculus revisited
• Theoretical studies in nuclear structure V. The matrix elements of non-central forces with an application to the 2 p -shell

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