Vertex operators for twisted quantum affine algebras

DOI10.1090/S0002-9947-99-02098-XzbMath1037.17033arXivq-alg/9701034OpenAlexW1659278048MaRDI QIDQ4226690

Kailash C. Misra, Naihuan Jing

Publication date: 27 January 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9701034

zbMATH Keywords

Quantum affine algebras\(q\)-vertex operators

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)

Related Items (16)

On Hopf algebraic structures of quantum toroidal algebras ⋮ Level 0 Monomial Crystals ⋮ Free field approach to the dilute AL models ⋮ A REMARK ON GROUND STATE OF BOUNDARY IZERGIN–KOREPIN MODEL ⋮ Commutation relations of vertex operators for Uq(sl^(M|N)) ⋮ The Drinfeld realization of the elliptic quantum group Bq,λ(A2(2)) ⋮ \(Q\widetilde{Q}\)-systems for twisted quantum affine algebras ⋮ Vertex representation of quantum N-toroidal algebra for type F₄ ⋮ Graded Cartan determinants of the symmetric groups ⋮ U q [sl (2| ∧ 1) vertex operators, screen currents, and correlation functions at an arbitrary level] ⋮ Vertex representations of quantum N-toroidal algebras for type C ⋮ Drinfeld Realization of Twisted Quantum Affine Algebras ⋮ Simple tensor products ⋮ Vertex operators of admissible modules of \(U_q(C_n^{(1)})\) ⋮ Two-parameter twisted quantum affine algebras ⋮ THE QUANTUM KNIZHNIK–ZAMOLODCHIKOV EQUATION ASSOCIATED WITH $U_q(A_2^{(2)})$ FOR |q| = 1

Cites Work

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• Quantum affine algebras and holonomic difference equations
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• Vertex operators of level-one \(\text{U}_q(B_n^{(1)})\)-modules
• Vertex operators of quantum affine Lie algebras \(U_ q(D_ n^{(1)})\)
• Higher level representations of the quantum affine algebra \(U_ q(\hat sl(2))\)
• LEVEL 2 IRREDUCIBLE REPRESENTATIONS OF $U_q (\widehat{{\rm sl}}_2)$, VERTEX OPERATORS, AND THEIR CORRELATIONS
• Vertex representations of quantum affine algebras
• AFFINE CRYSTALS AND VERTEX MODELS

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