LEADER 03365nam 2200589 450 001 9910788751303321 005 20170821171945.0 010 $a1-4704-0071-5 035 $a(CKB)3360000000464678 035 $a(EBL)3113793 035 $a(SSID)ssj0000889102 035 $a(PQKBManifestationID)11521344 035 $a(PQKBTitleCode)TC0000889102 035 $a(PQKBWorkID)10866575 035 $a(PQKB)11381841 035 $a(MiAaPQ)EBC3113793 035 $a(RPAM)2050526 035 $a(PPN)195413776 035 $a(EXLCZ)993360000000464678 100 $a20140902h19931993 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aOn axiomatic approaches to vertex operator algebras and modules /$fIgor B. Frenkel, Yi-Zhi Huang, James Lepowsky 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1993. 210 4$dİ1993 215 $a1 online resource (79 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 104, Number 494 300 $a"July 1993, Volume 104, Number 494 (first of 6 numbers)." 311 $a0-8218-2555-0 320 $aIncludes bibliographical references. 327 $a""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"" 327 $a""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"" 327 $a""5.1. Duality for one module element and two algebra elements""""5.2. Adjoint vertex operators and the contragredient module""; ""5.3. Properties of contragredient modules""; ""5.4. Intertwining operators""; ""5.5. Adjoint intertwining operators""; ""5.6. Duality for two module elements and one algebra element""; ""References"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 104, Number 494. 606 $aVertex operator algebras 606 $aModules (Algebra) 615 0$aVertex operator algebras. 615 0$aModules (Algebra) 676 $a512/.55 700 $aFrenkel$b Igor$045192 701 $aHuang$b Yi-Zhi$f1959-eauthor.$01521058 702 $aLepowsky$b J$g(James), 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788751303321 996 $aOn axiomatic approaches to vertex operator algebras and modules$93759938 997 $aUNINA