Representations of a class of lattice type vertex algebras
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Publication:1855457
DOI10.1016/S0022-4049(02)00053-1zbMath1043.17016arXivmath/0109215MaRDI QIDQ1855457
Chongying Dong, Shaobin Tan, Stephen Berman
Publication date: 5 February 2003
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0109215
Related Items (21)
A realisation of the Bershadsky-Polyakov algebras and their relaxed modules ⋮ A realization of certain modules for the \(N = 4\) superconformal algebra and the affine Lie algebra \(a_{2}^{(1)}\) ⋮ On the semisimplicity of the category \(KL_k\) for affine Lie superalgebras ⋮ Lie superalgebras and irreducibility of \(A_1^{(1)}\)-modules at the critical level ⋮ Modularity of Bershadsky-Polyakov minimal models ⋮ Free field realisation of the chiral universal centraliser ⋮ Subregular W-algebras of type A ⋮ A duality between vertex superalgebras \(L_{-3/2}(\mathfrak{osp}(1|2))\) and \(\mathcal{V}^{(2)}\) and generalizations to logarithmic vertex algebras ⋮ Bershadsky-Polyakov vertex algebras at positive integer levels and duality ⋮ Whittaker modules for the affine Lie algebra \(A_1^{(1)}\) ⋮ Representations of a Class of Non-commutative Associative Algebras Related to the Quantum Torus ⋮ A SMASH PRODUCT CONSTRUCTION OF NONLOCAL VERTEX ALGEBRAS ⋮ Self-dual and logarithmic representations of the twisted Heisenberg–Virasoro algebra at level zero ⋮ Realizations of simple affine vertex algebras and their modules: the cases \({\widehat{sl(2)}}\) and \({\widehat{osp(1,2)}}\) ⋮ Representations of the Quantized Weyl Algebra Associated to the Quantum Plane ⋮ A new construction of vertex algebras and quasi-modules for vertex algebras. ⋮ On certain vertex algebras and their modules associated with vertex algebroids ⋮ Representations of a noncommutative associative algebra related to quantum torus of rank three. ⋮ On vertex algebras and their modules associated with even lattices ⋮ Classification of irreducible modules for Bershadsky–Polyakov algebra at certain levels ⋮ Free field realization of the twisted Heisenberg-Virasoro algebra at level zero and its applications
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