The induction coefficients of the Hecke algebra and the Clebsch–Gordan coefficients of the quantum group SUq(N). I. Special Gel’fand basis

DOI10.1063/1.530001zbMath0806.17014OpenAlexW1999359900MaRDI QIDQ3141417

Feng Pan, Jin-Quan Chen

Publication date: 20 February 1995

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

Full work available at URL: https://doi.org/10.1063/1.530001

zbMATH Keywords

Hecke algebraClebsch-Gordan coefficientsinduction coefficients

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) Applications of group representations to physics and other areas of science (20C35)

Related Items (3)

Analytical expressions for some multiplicity-free isoscalar factors of Sf⊃Sf−1 ⋮ PERMUTATION GROUP APPROACH TO THE ONE-DIMENSIONAL XXX HEISENBERG OPEN SPIN-1/2 CHAINS ⋮ The induction coefficients of the Hecke algebra and the Clebsch–Gordan coefficients of the quantum group SUq(N). II. General Gel’fand basis

Cites Work

• Quantum R matrix for the generalized Toda system
• Hecke algebra representations of braid groups and link polynomials
• Hecke algebras of type \(A_ n\) and subfactors
• Quantum field theory and the Jones polynomial
• Quantum groups and subfactors of type B, C, and D
• The induction coefficients of the Hecke algebra and the Clebsch–Gordan coefficients of the quantum group SUq(N). II. General Gel’fand basis
• Relations for Clebsch–Gordan and Racah coefficients in suq(2) and Yang–Baxter equations
• A simple derivation of the quantum Clebsch–Gordan coefficients for SU(2)q

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