Rationality of the vertex operator algebra \(V_L+\) for a positive definite even lattice \(L\)
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Publication:1771983
DOI10.1007/s00209-004-0709-1zbMath1136.17021arXivmath/0311210OpenAlexW1999028973MaRDI QIDQ1771983
Publication date: 14 April 2005
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0311210
Related Items (17)
Quantum dimensions and fusion rules of the VOA \(V_{L_{\mathcal{C} \times \mathcal{D}}}^\tau\) ⋮ The irreducible weak modules for the fixed point subalgebra of the vertex algebra associated to a non-degenerate even lattice by an automorphism of order 2 (Part 1) ⋮ A Characterization of the Vertex Operator Algebra $$V _{L_{2}}^{A_{4}}$$ ⋮ A generalized Kac-Moody algebra of rank 14 ⋮ A characterization of the rational vertex operator algebra \(V_{\mathbb Z{\alpha}}^+\). II ⋮ Orbifolds of lattice vertex algebras under an isometry of order two ⋮ Conformal blocks from vertex algebras and their connections on \(\overline{\mathcal{M}}_{g,n}\) ⋮ 2-permutations of lattice vertex operator algebras: higher rank ⋮ Classification of irreducible modules of the vertex algebra \(V^+ _L\) when \(L\) is a nondegenerate even lattice of an arbitrary rank ⋮ \(\mathbb{Z}\)-graded weak modules and regularity ⋮ A \(\mathbb{Z}_{2}\)-orbifold model of the symplectic fermionic vertex operator superalgebra ⋮ 2-cyclic permutations of lattice vertex operator algebras ⋮ C2-Cofiniteness of the Vertex Algebra WhenLis a Nondegenerate Even Lattice ⋮ Rationality of the vertex algebra \(V^+_L\) when \(L\) is a non-degenerate even lattice of arbitrary rank ⋮ Quantum dimensions and fusion products for irreducibleVQσ-modules withσ2 = 1 ⋮ Module category and \(C_2\)-cofiniteness of affine vertex operator superalgebras ⋮ On irreducibility of modules of Whittaker type for cyclic orbifold vertex algebras
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