Finite dimensional irreducible representations of the quantum algebra Uq(C2)

DOI10.1063/1.530650zbMath0806.17006OpenAlexW1984957342MaRDI QIDQ4298611

Zurong Yu, Ya-ping Yang

Publication date: 8 August 1994

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

Full work available at URL: https://doi.org/10.1063/1.530650

zbMATH Keywords

irreducible representationscommutation relations\(q\)- tensor operatorsquantum algebra \(\text{U}_ q(C_ 2)\)

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)

Related Items (1)

Reduced coefficients of quantum algebra SUq(4)

Cites Work

• Q-analogues of Clifford and Weyl algebras - spinor and oscillator representations of quantum enveloping algebras
• On q-tensor operators for quantum groups
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Irreducible highest weight representations of quantum groups \(U_ q(gl(n,\mathbb{C}{}))\)
• The q-analog of the boson algebra, its representation on the Fock space, and applications to the quantum group
• Wigner-Eckart theorem for the quantum group U_q(n)
• Symmetric irreducible representations of SU(3)_qin the SU(2)_q*U(1) basis and some extensions to SU(N)_q× SU(N-1)_q*U(1)
• A new method of determining an irreducible representation of quantum Sl_q(3) algebra (I)

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