Some finiteness properties of regular vertex operator algebras
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Publication:1284241
DOI10.1006/jabr.1998.7654zbMath0953.17017arXivmath/9807077OpenAlexW2023932340MaRDI QIDQ1284241
Publication date: 31 January 2001
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9807077
Related Items (47)
Tensor decomposition, parafermions, level-rank duality, and reciprocity law for vertex operator algebras ⋮ REGULAR REPRESENTATIONS OF VERTEX OPERATOR ALGEBRAS ⋮ Vertex operator algebras, the Verlinde conjecture, and modular tensor categories ⋮ The commutant of \(L_{\widehat{\mathfrak{sl}}_2}(n, 0)\) in the vertex operator algebra \(L_{\widehat{\mathfrak{sl}}_2}(1, 0)^{\otimes n}\) ⋮ Rationality, regularity, and 𝐶₂-cofiniteness ⋮ A family of regular vertex operator algebras with two generators ⋮ Super orbifold theory ⋮ An Abstract Construction of Vertex Algebras ⋮ Rationality and \(C_2\)-cofiniteness of certain diagonal coset vertex operator algebras ⋮ On orbifold theory ⋮ Zhu's algebra, \(C_2\)-algebra and \(C_2\)-cofiniteness of parafermion vertex operator algebras ⋮ Congruence property in orbifold theory ⋮ Endomorphism property of vertex operator algebras over arbitrary fields ⋮ Parafermion vertex operator algebras ⋮ Mirror extensions of rational vertex operator algebras ⋮ VERTEX OPERATOR ALGEBRAS AND THE VERLINDE CONJECTURE ⋮ \(S\)-matrix in orbifold theory ⋮ Regularity of vertex operator superalgebras ⋮ Fusion rules for the vertex operator algebra \(V_{L_2}^{A_4}\) ⋮ Tensor categories arising from the Virasoro algebra ⋮ A remark on the \(C_2\)-cofiniteness condition on vertex algebras ⋮ Remarks on 𝜙-coordinated modules for quantum vertex algebras ⋮ Full field algebras ⋮ Ordered spanning sets for quasimodules for Möbius vertex algebras ⋮ Vertex operator superalgebras and the 16-fold way ⋮ 2-permutations of lattice vertex operator algebras: higher rank ⋮ Rational vertex operator algebras are finitely generated ⋮ \(\phi\)-coordinated modules for quantum vertex algebras and associative algebras ⋮ \(\mathbb{Z}\)-graded weak modules and regularity ⋮ On \(C_{2}\)-cofiniteness of parafermion vertex operator algebras ⋮ A braided monoidal category for free super-bosons ⋮ Constructing tensor products of modules for \(C_2\)-cofinite vertex operator superalgebras ⋮ Modular invariance of vertex operator algebras satisfying \(C_2\)-cofiniteness ⋮ Duality of subregular \(\mathcal{W} \)-algebras and principal \(\mathcal{W} \)-superalgebras ⋮ RIGIDITY AND MODULARITY OF VERTEX TENSOR CATEGORIES ⋮ A \(\mathbb{Z}_{2}\)-orbifold model of the symplectic fermionic vertex operator superalgebra ⋮ The varieties of semi-conformal vectors of affine vertex operator algebras ⋮ Cofiniteness conditions, projective covers and the logarithmic tensor product theory ⋮ Zhu reduction for Jacobi $n$-point functions and applications ⋮ 2-cyclic permutations of lattice vertex operator algebras ⋮ DIFFERENTIAL EQUATIONS AND INTERTWINING OPERATORS ⋮ VERTEX ALGEBRAS AND VERTEX POISSON ALGEBRAS ⋮ Abelianizing vertex algebras ⋮ \(C_2\)-cofiniteness of cyclic-orbifold models ⋮ Certain generating subspaces for vertex operator algebras ⋮ A spanning set for VOA modules. ⋮ C2-Cofiniteness of Cyclic-Orbifold Vertex Operator Superalgebras
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