Drinfeld comultiplication and vertex operators

DOI10.1016/S0393-0440(96)00041-1zbMath0921.17003arXivq-alg/9608003OpenAlexW3104217318MaRDI QIDQ1364344

Kenji Iohara, Jintai Ding

Publication date: 13 April 1999

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9608003

zbMATH Keywords

Hopf algebravertex operatorsintertwinersquantum current operatorsDrinfeld comultiplication

Mathematics Subject Classification ID

Related Items (8)

Twisted and non-twisted deformed Virasoro algebras via vertex operators of \(U_q(\widehat{\mathfrak{sl}}_2)\) ⋮ Actions of the quantum toroidal algebra of type sl2 on the space of vertex operators for Uq(gl2̂) modules ⋮ Higher level vertex operators for \(U_q \left( \widehat{\mathfrak {sl}}_2\right)\) ⋮ Principal subspaces for quantum affine algebra \(U_q(A_n^{(1)})\) ⋮ Two-parameter quantum affine algebra \(U_{r,s}(\widehat{\mathfrak {sl}_n})\), Drinfel'd realization and quantum affine Lyndon basis ⋮ Weyl group extension of quantized current algebras ⋮ Toroidal and level 0 Uq′(sln+1∧) actions on Uq(gln+1∧) modules ⋮ The algebra \({\mathcal A}_{\hbar,\eta}(\hat g)\) and infinite Hopf family of algebras

Cites Work

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• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory
• Diagonalization of the \(XXZ\) Hamiltonian by vertex operators
• Isomorphism of two realizations of quantum affine algebra \(U_ q(\widehat{\mathfrak{gl}}(n))\)
• Staggered polarization of vertex models with \(U_ q(\widehat {sl}(n))\)- symmetry
• Quantum current operators. I: Zeros and poles of quantum current operators and the condition of quantum integrability
• Vertex representations of quantum affine algebras
• CALCULATION OF EXCITATION SPECTRA OF THE SPIN MODEL RELATED WITH THE VECTOR REPRESENTATION OF THE QUANTIZED AFFINE ALGEBRA OF TYPE $A_n^{(1)} $

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