Symmetric invariant bilinear forms on vertex operator algebras

1994/10/01 by Hai-Sheng Li, Hai-sheng Li · 39 citations
Mathematics · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Advanced Algebra and Geometry

paper · doi:10.1016/0022-4049(94)90104-x

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• On integral forms for vertex algebras associated with affine Lie algebras and lattices
• Integral forms in vertex operator algebras which are invariant under finite groups
• Determinants for integral forms in lattice type vertex operator algebras
• Lattice vertex superalgebras and their modules over fields of prime characteristic
• Parafermion vertex operator algebras and W-algebras
• The theory of physical superselection sectors in terms of vertex operator algebra language
• Reverse orbifold construction and uniqueness of holomorphic vertex operator algebras
• Some finite properties for vertex operator superalgebras
• Representation theory and tensor product theory for vertex operator algebras
• Cohomology of Jacobi forms
• Full vertex algebra and bootstrap -- consistency of four point functions in 2d CFT
• Mirror Extensions of Vertex Operator Algebras
• Representations of the vertex operator algebra V_L₂^A₄
• Integral forms in vertex operator algebras which are invariant under finite groups
• Automorphism groups and derivation algebras of finitely generated vertex operator algebras
• On certain higher dimensional analogues of vertex algebras
• A class of vertex operator algebras generated by Virasoro vectors
• Generalized vertex algebras generated by parafermion-like vertex operators
• On abelian generalized vertex algebras
• On Z₂-twisted representation of vertex operator superalgebras and the Ising model SVOA
• Classification of vertex operator algebras of class S⁴ with minimal conformal weight one
• A Z₂-orbifold model of the symplectic fermionic vertex operator superalgebra
• Holomorphic Vertex Operator Algebras of Small Central Charges
• Unitary vertex operator algebras
• Some exceptional extensions of Virasoro vertex operator algebras
• Local Systems of Vertex Operators, Vertex Superalgebras and Modules
• On the semi-infinite cohomology of graded-unitary vertex algebras
• Characters and fusion rules of boundary W-algebras
• Rational Vertex Operator Algebras and the Effective Central Charge
• On rank-two parabolic-type vertex operator algebras
• Nonlocal vertex algebras generated by formal vertex operators
• Genus Two Zhu Theory for Vertex Operator Algebras
• Moduli spaces of conformal structures on Heisenberg vertex algebras
• The radical of a vertex operator algebra associated to a module
• Vertex operator algebra with two Miyamoto involutions generating S₃
• A recurrence relation for characters of highest weight integrable modules for affine Lie algebras
• Reduction cohomology of Riemann surfaces
• Lie Conformal Algebra and Dual Pair Type Realizations of Some Moonshine Type VOAs, and Calculations of the Correlation Functions
• General Genus Zhu Recursion for Vertex Operator Algebras
• Representations of vertex operator algebras and bimodules
• Lattice-integrality of certain group-invariant integral forms in vertex operator algebras