Symmetries of Clebsch–Gordan coefficients of the quantum group U q(n)

DOI10.1063/1.531319zbMath0832.17014OpenAlexW2066438313MaRDI QIDQ4837365

A. U. Klimyk

Publication date: 5 March 1996

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

Full work available at URL: https://doi.org/10.1063/1.531319

zbMATH Keywords

representationsClebsch-Gordan coefficientspermutation symmetriesquantum group \(U_ q (n)\)

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (1)

Towards the canonical tensor operators of u q(3). I. The maximal null space case

Cites Work

• Quantum deformations of certain simple modules over enveloping algebras
• Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
• Etiology of IRF models
• Gelfand-Zetlin basis for \(U_ q(\mathfrak{gl}(\text{\textbf{N}}+\text{\textbf{1}}))\) modules.
• Relations for Clebsch–Gordan and Racah coefficients in suq(2) and Yang–Baxter equations
• On Racah coefficients of the quantum algebra U_q(su₂)
• On Clebsch–Gordan coefficients and matrix elements of representations of the quantum algebra U q(su2)
• Racah-Wigner algebra for q-deformed algebras
• Matrix elements and Wigner coefficients for U q[gl(n)]
• Reduced Wigner coefficients for U q[gl(n)]
• The pattern calculus for tensor operators in quantum groups
• Raising and lowering operators for u_q(n)

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