A new q-deformed boson realization of quantum algebra slq(n+1) and nongeneric slq(2) R-matrices

DOI10.1063/1.529168zbMath0751.17013OpenAlexW2047810768MaRDI QIDQ3987375

Changpu Su, Mo-Lin Ge, Xu-Feng Liu

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529168

zbMATH Keywords

representationsquantum algebra\(R\)- matrices\(q\)-deformed boson realization

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 (3)

Reduced coefficients of quantum algebra SUq(4) ⋮ Representations of Uεres(sl2) via restricted q-Fock spaces ⋮ Exotic quantum double, its universal R matrix, and their representations

Cites Work

• \(R\)-matrix for cyclic representations of \(U_ q(\widehat{{\mathfrak sl}}(3,{\mathbb{C}}))\) at \(q^ 3=1\)
• q-ANALOGUE OF BOSON COMMUTATOR AND THE QUANTUM GROUPS SU_q(2) AND SU_q(1, 1)
• Braid group representation associated with the 10-dimensional representation of SU(5) and its Yang-Baxterisation
• BAXTERIZATION
• Weight conservation and quantum group construction of the braid group representation
• The q-analog of the boson algebra, its representation on the Fock space, and applications to the quantum group

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