Higher level representations of the quantum affine algebra \(U_ q(\hat sl(2))\)
From MaRDI portal
Publication:1922471
DOI10.1006/jabr.1996.0180zbMath0864.17021OpenAlexW1996543520MaRDI QIDQ1922471
Publication date: 22 June 1997
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.1996.0180
quantum affine algebrasvertex operatorsexplicit basishigher level modulesquantum analogue of \(Z\)-algebras
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Vertex operators; vertex operator algebras and related structures (17B69)
Related Items
On Hopf algebraic structures of quantum toroidal algebras, Quantum current operators. II: Difference equations of quantum current operators and quantum parafermion construction, Extremal loop weight modules and tensor products for quantum toroidal algebras, The vertex-face correspondence and correlation functions of the fusion eight-vertex model. I: The general formalism, Bosonic realizations of \(U_q(C_n^{(1)})\), Higher level vertex operators for \(U_q \left( \widehat{\mathfrak {sl}}_2\right)\), Principal subspaces for quantum affine algebra \(U_q(A_n^{(1)})\), Vertex representations of quantum N-toroidal algebras for type C, REALIZATION OF ${\widehat{\mathfrak{sl}}_2({\mathbb C})}$ AT THE CRITICAL LEVEL, Quantum z-algebras and representations of quantum affine algebras, Canonical basis and Macdonald polynomials, Vertex operators for twisted quantum affine algebras, Manin-Olshansky Triples for Lie Superalgebras, Realizations of Affine Lie Algebra $${A^{(1)}_1}$$ at Negative Levels, Elliptic algebra \(U_{q,p}(\hat{\mathfrak {g}})\) and quantum \(Z\)-algebras
