C2-Cofiniteness of the Vertex Operator Algebra WhenLIs a Rank One Lattice

DOI10.1081/AGB-120027959zbMath1093.17008arXivmath/0202056MaRDI QIDQ3154501

Gaywalee Yamskulna

Publication date: 14 January 2005

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0202056

zbMATH Keywords

vertex operator algebras\(C_2\)-cofinitenessfixed point vertex operator subalgebrarank one positive definite even lattice

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69)

Related Items

Quantum dimensions and fusion rules of the VOA \(V_{L_{\mathcal{C} \times \mathcal{D}}}^\tau\), Fusion rules for the vertex operator algebras \(M(1)^+\) and \(V_L^+\), Rationality, regularity, and 𝐶₂-cofiniteness, 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), Fixed point subalgebras of lattice vertex operator algebras by an automorphism of order three, \(C_2\)-cofiniteness of 2-cyclic permutation orbifold models, Classification of irreducible modules for the vertex operator algebra \(V_{L}^{+}\): general case., Conformal blocks from vertex algebras and their connections on \(\overline{\mathcal{M}}_{g,n}\), 2-permutations of lattice vertex operator algebras: higher rank, Rationality of the vertex operator algebra \(V_L+\) for a positive definite even lattice \(L\), C₂-Cofiniteness of the Vertex Algebra WhenLis a Nondegenerate Even Lattice, Representations of a fixed-point subalgebra of a class of lattice vertex operator algebras by an automorphism of order three, \(C_2\)-cofiniteness of cyclic-orbifold models

Cites Work

• Unnamed Item
• Unnamed Item
• On quantum Galois theory
• Framed vertex operator algebras, codes and the moonshine module
• Vertex operator algebras and associative algebras
• Rank one lattice type vertex operator algebras and their automorphism groups
• Classification of irreducible modules for the vertex operator algebra \(M(1)^+\)
• Representations of vertex operator algebra \(V_L^+\) for rank one lattice \(L\)
• Certain generating subspaces for vertex operator algebras
• Vertex algebras associated with even lattices
• Twisted modules for vertex algebras associated with even lattices
• Regularity of rational vertex operator algebras
• Twisted representations of vertex operator algebras
• A spanning set for VOA modules.
• Vertex algebras, Kac-Moody algebras, and the Monster
• Modular invariance of characters of vertex operator algebras