New boson representations of the \(sl_ q\)(2) with multiplicity two and new solutions to the Yang-Baxter equation at \(q^ p =1\)

DOI10.1007/BF01885495zbMath0751.17010OpenAlexW2126911367MaRDI QIDQ1180726

Mo-Lin Ge, Xu-Feng Liu, Chang-pu Sun

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf01885495

zbMATH Keywords

Yang-Baxter equation\(R\)-matrixquantum universal enveloping algebraboson representations

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 (2)

Colored solutions of the Yang–Baxter equation from representations of Uqgl(2) ⋮ On integrable quantum group invariant antiferromagnets

Cites Work

• Irreducible representations of the quantum analogue of SU(2)
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• 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
• \(R\)-matrix for cyclic representations of \(U_ q(\widehat{{\mathfrak sl}}(3,{\mathbb{C}}))\) at \(q^ 3=1\)

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