03365nam 2200589 450 991078875130332120170821171945.01-4704-0071-5(CKB)3360000000464678(EBL)3113793(SSID)ssj0000889102(PQKBManifestationID)11521344(PQKBTitleCode)TC0000889102(PQKBWorkID)10866575(PQKB)11381841(MiAaPQ)EBC3113793(RPAM)2050526(PPN)195413776(EXLCZ)99336000000046467820140902h19931993 uy 0engur|n|---|||||txtccrOn axiomatic approaches to vertex operator algebras and modules /Igor B. Frenkel, Yi-Zhi Huang, James LepowskyProvidence, Rhode Island :American Mathematical Society,1993.©19931 online resource (79 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 104, Number 494"July 1993, Volume 104, Number 494 (first of 6 numbers)."0-8218-2555-0 Includes bibliographical references.""Contents""; ""Historical note""; ""1. Introduction""; ""2. Vertex operator algebras""; ""2.1. Formal calculus""; ""2.2. Definition of vertex operator algebras""; ""2.3. Consequences of the definition""; ""2.4. Elementary categorical notions""; ""2.5. Tensor products""; ""2.6. The Virasoro algebra and primary fields""; ""2.7. S[sub(3)]-symmetry of the Jacobi identity""; ""2.8. Quasi-vertex operator algebras""; ""3. Duality for vertex operator algebras""; ""3.1. Expansions of rational functions""; ""3.2. Rationality of products and commutativity""""3.3. Rationality of iterates and associativity""""3.4. The Jacobi identity from commutativity and associativity""; ""3.5. Several variables""; ""3.6. The Jacobi identity from commutativity""; ""3.7. Proof of the tensor product construction""; ""4. Modules""; ""4.1. Definition""; ""4.2. Consequences of the definition""; ""4.3. Elementary categorical notions""; ""4.4. Primary fields""; ""4.5. Rationality, commutativity, associativity and the Jacobi identity""; ""4.6. Tensor product modules for tensor product algebras""; ""4.7. Irreducibility and tensor products""; ""5. Duality for modules""""5.1. Duality for one module element and two algebra elements""""5.2. Adjoint vertex operators and the contragredient module""; ""5.3. Properties of contragredient modules""; ""5.4. Intertwining operators""; ""5.5. Adjoint intertwining operators""; ""5.6. Duality for two module elements and one algebra element""; ""References""Memoirs of the American Mathematical Society ;Volume 104, Number 494.Vertex operator algebrasModules (Algebra)Vertex operator algebras.Modules (Algebra)512/.55Frenkel Igor45192Huang Yi-Zhi1959-eauthor.1521058Lepowsky J(James),MiAaPQMiAaPQMiAaPQBOOK9910788751303321On axiomatic approaches to vertex operator algebras and modules3759938UNINA