Reduced coefficients of quantum algebra SUq(4)

DOI10.1063/1.530859zbMath0822.17010OpenAlexW1972278850MaRDI QIDQ4318035

Ya-ping Yang, Zurong Yu

Publication date: 25 January 1995

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

Full work available at URL: https://doi.org/10.1063/1.530859

zbMATH Keywords

irreducible representationquantum algebrarecurrent formulareduced 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) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

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The q-phase-difference operator and two-mode q-coherent states

Cites Work

• On q-tensor operators for quantum groups
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Representations of quantum algebras
• q-TENSOR METHOD OF DETERMINING IRREDUCIBLE REPRESENTATION OF QUANTUM ALGEBRA SU_q(3)
• The quantum group SU_q(2) and a q-analogue of the boson operators
• The q-deformed boson realization of representations of quantum universal enveloping algebras for q a root of unity. I The case of U_qSL(L)
• A new q-deformed boson realization of quantum algebra slq(n+1) and nongeneric slq(2) R-matrices
• Quantum Clebsch-Gordan coefficients for nongeneric q values
• Wigner-Eckart theorem for the quantum group U_q(n)
• Finite dimensional irreducible representations of the quantum algebra Uq(C2)
• Tensor-like technique and quantum algebra su_q(3)
• A new method of determining an irreducible representation of quantum Sl_q(3) algebra (I)

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