scientific article; zbMATH DE number 1424468
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Publication:4945714
zbMath1031.17014arXivhep-th/9805016MaRDI QIDQ4945714
Stephen Berman, Jacek Szmigielski
Publication date: 29 February 2004
Full work available at URL: https://arxiv.org/abs/hep-th/9805016
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Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional Lie (super)algebras (17B65) Applications of Lie groups to the sciences; explicit representations (22E70)
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Weight modules over exp-polynomial Lie algebras ⋮ A class of integrable modules for the core of EALA coordinatized by quantum tori ⋮ Highest weight modules over pre-exp-polynomial Lie algebras ⋮ Hermitian representations of the extended affine Lie algebra \(\widehat {\mathfrak {gl}_2(\mathbb {C}_q)}\) ⋮ Vertex algebras and extended affine Lie algebras coordinated by rational quantum tori ⋮ Some quotient algebras arising from the quantum toroidal algebra \(U_{q}(sl_{n+1}(\mathcal{C}_{\gamma}))\) \((n\geq 2)\) ⋮ A class of irreducible modules for the extended affine Lie algebra \(\widetilde{\mathfrak{gl}}_l(\mathbb{C}_q)\) ⋮ Twisted \(\Gamma\)-Lie algebras and their vertex operator representations ⋮ Hermitian representations of a TKK algebra ⋮ A unified view of some vertex operator constructions ⋮ Classification of quasifinite modules with nonzero central charges for EALAs of type A with coordinates in quantum torus
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