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Autore: | Frenkel Igor |
Titolo: | On axiomatic approaches to vertex operator algebras and modules / / Igor B. Frenkel, Yi-Zhi Huang, James Lepowsky |
Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 1993 |
©1993 | |
Descrizione fisica: | 1 online resource (79 p.) |
Disciplina: | 512/.55 |
Soggetto topico: | Vertex operator algebras |
Modules (Algebra) | |
Altri autori: | HuangYi-Zhi <1959-eauthor.> |
Persona (resp. second.): | LepowskyJ (James) |
Note generali: | "July 1993, Volume 104, Number 494 (first of 6 numbers)." |
Nota di bibliografia: | Includes bibliographical references. |
Nota di contenuto: | ""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"" | |
Titolo autorizzato: | On axiomatic approaches to vertex operator algebras and modules |
ISBN: | 1-4704-0071-5 |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910812413103321 |
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