Local systems of vertex operators, vertex superalgebras and modules

1996/06/01 by Hai-Sheng Li · 50 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Nonlinear Waves and Solitons

paper · doi:10.1016/0022-4049(95)00079-8

Cited by

• Vertex superalgebras over fields of prime characteristic
• Representations of vertex operator superalgebras over an arbitrary field
• Lattice vertex superalgebras and their modules over fields of prime characteristic
• Vertex algebras generated by Lie algebras
• Generalized Rationality and a "Jacobi Identity" for Intertwining Operator Algebras
• A construction of some ideals in affine vertex algebras
• On axiomatic aspects of N=2 vertex superalgebras with odd formal variables, and deformations of N=1 vertex superalgebras
• Some finite properties for vertex operator superalgebras
• Quantum vertex C((t))-algebras and quantum affine algebras
• Representation theory and tensor product theory for vertex operator algebras
• On replacement axioms for the Jacobi identity for vertex algebras and their modules
• C₂-cofinite W-algebras and their logarithmic representations
• Modular Virasoro Vertex Algebras and Affine Vertex Algebras
• C_n-cofinite twisted modules for C₂-cofinite vertex operator algebras
• Mirror Extensions of Vertex Operator Algebras
• Quantum vertex algebras and their phi-coordinated quasi modules
• Ordered spanning sets for quasimodules for Mobius vertex algebras
• Toroidal extended affine Lie algebras and vertex algebras
• (G,χ_ϕ)-equivariant ϕ-coordinated modules for vertex algebras
• Embedding of certain vertex algebras without vacuum into vertex algebras
• On quasi modules at infinity for vertex algebras
• Automorphism groups and derivation algebras of finitely generated vertex operator algebras
• On certain higher dimensional analogues of vertex algebras
• Toroidal vertex algebras and their modules
• Vertex operator algebras associated to the Virasoro algebra over an arbitrary field
• Modules for a sheaf of Lie algebras on loop manifolds
• A class of vertex operator algebras generated by Virasoro vectors
• Generalized vertex algebras generated by parafermion-like vertex operators
• A new construction of vertex algebras and quasi modules for vertex algebras
• Affine vertex operator superalgebra L_sl(2|1)(k,0) at boundary admissible level
• Classification of irreducible modules of certain subalgebras of free boson vertex algebra
• A Z₂-orbifold model of the symplectic fermionic vertex operator superalgebra
• Holomorphic Vertex Operator Algebras of Small Central Charges
• Simple vertex operator algebras are nondegenerate
• Hom functor and the associativity of tensor products of modules for vertex operator algebras
• Structure and representations of the coset vertex operator algebra C( L_\widehatosp(1|2)(2,0), L_\widehatosp(1|2)(1,0)^{⊗ 2})
• ϕ_ε-coordinated modules for vertex algebras
• The global sections of the chiral de Rham complex on a Kummer surface
• Y(z)-injective vertex superalgebras and Hopf actions
• Quasi-modular forms and trace functions associated to free boson and lattice vertex operator algebras
• Rational Vertex Operator Algebras and the Effective Central Charge
• Vertex algebras associated with elliptic affine Lie algebras
• On twisted representations of vertex algebras
• Nonlocal vertex algebras generated by formal vertex operators
• Quantum Dimensions and Quantum Galois Theory
• Introduction to vertex operator algebras I
• Extended affine Lie algebras, vertex algebras, and reductive groups
• On certain vertex algebras and their modules associated with vertex algebroids
• N=1 Neveu-Schwarz vertex operator superalgebras over Grassmann algebras and with odd formal variables
• The Z₂ Orbifold of the Universal Affine Vertex Algebra
• On rationality of vertex operator superalgebras
• The radical of a vertex operator algebra associated to a module
• Level-Rank Duality for Vertex Operator Algebras of types B and D