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)
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Publication:2662154
DOI10.1016/j.jalgebra.2021.01.038zbMath1481.17055arXiv2102.11515OpenAlexW3129326579MaRDI QIDQ2662154
Publication date: 9 April 2021
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.11515
Cites Work
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- Fixed point subalgebras of lattice vertex operator algebras by an automorphism of order three
- Modular invariance of vertex operator algebras satisfying \(C_2\)-cofiniteness
- Fusion rules for the vertex operator algebras \(M(1)^+\) and \(V_L^+\)
- Classification of irreducible modules of the vertex algebra \(V^+ _L\) when \(L\) is a nondegenerate even lattice of an arbitrary rank
- The fixed point subalgebra of a lattice vertex operator algebra by an automorphism of order three
- Rationality of the vertex algebra \(V^+_L\) when \(L\) is a non-degenerate even lattice of arbitrary rank
- The operator algebra of orbifold models
- 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 \(L\)
- 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
- Introduction to vertex operator algebras and their representations
- Classification of irreducible modules for the vertex operator algebra \(V_{L}^{+}\): general case.
- Fusion rules for the free bosonic orbifold vertex operator algebra
- Rationality of the vertex operator algebra \(V_L+\) for a positive definite even lattice \(L\)
- Monstrous moonshine and monstrous Lie superalgebras
- \(\mathbb Z_3\) symmetry and \(W_3\) algebra in lattice vertex operator algebras.
- Local systems of vertex operators, vertex superalgebras and modules
- \(C_2\)-cofiniteness of cyclic-orbifold models
- C2-Cofiniteness of the Vertex Algebra WhenLis a Nondegenerate Even Lattice
- C2-Cofiniteness of the Vertex Operator Algebra WhenLIs a Rank One Lattice
- The Leech lattice
- Vertex algebras, Kac-Moody algebras, and the Monster
- Monstrous Moonshine
- Twenty-three constructions for the Leech lattice
- Lorentzian forms for the Leech lattice
- Rationality, regularity, and 𝐶₂-cofiniteness
- Modular invariance of characters of vertex operator algebras
- Simple weak modules for the fixed point subalgebra of the Heisenberg vertex operator algebra of rank $1$ by an automorphism of order $2$ and Whittaker vectors
- Rationality of vertex operator algebra V L + : higher rank
- Classification of irreducible modules for the vertex operator algebra \(M(1)^+\). II: Higher rank
- Fusion rules for the charge conjugation orbifold
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