Vertex operators of Uq[gl(N∧|N)] and highest weight representations of Uq[gl(2|∧2)]

DOI10.1063/1.533252zbMath0977.81044arXivmath/9908008OpenAlexW1551203929MaRDI QIDQ2737947

Wen-Li Yang, Yao-Zhong Zhang

Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/math/9908008

zbMATH Keywords

charactersaffine superalgebrairreducible modulesexchange relationssupercharacterslevel onelevel-one \(q\)-vertex

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) Vertex operators; vertex operator algebras and related structures (17B69) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (7)

Commutation relations of vertex operators for Uq(sl^(M|N)) ⋮ An integrable \(U_q(\widehat{gl}(2|2))\)-model: corner transfer matrices and Young skew diagrams ⋮ A \(U_q(\widehat{gl}(2|2))_1\)-vertex model: creation algebras and quasi-particles. I ⋮ A bosonization of \(U_q\left(\widehat{sl}(M| N)\right)\) ⋮ Boundary state of a ${{U}_{q}}\left(\widehat{gl}(N|N)\right)$ analogue of the half-infinitet−Jmodel ⋮ U q [sl (2| ∧ 1) vertex operators, screen currents, and correlation functions at an arbitrary level] ⋮ Level-one highest weight representation of Uq[sl(N̂|1) and Bosonization of the multicomponent Super t−J model]

Cites Work

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• Highest weight representations of \(U_q(\widehat{\text{sl}}(2|1))\) and correlation functions of the \(q\)-deformed supersymmetric \(t\)-\(J\) model
• The twisted quantum affine algebra \(U_ q(A^{(2)}_ 2)\) and correlation functions of the Izergin-Korepin model.
• Vertex operators of quantum affine Lie algebras \(U_ q(D_ n^{(1)})\)
• Vertex representations of quantum affine algebras
• Comments on the Drinfeld realization of the quantum affine superalgebra and its Hopft algebra structure
• Bosonization of vertex operators for the face model
• Level-one representations and vertex operators of quantum affine superalgebra Uq[gl(N̂|N)]

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