On axiomatic approaches to vertex operator algebras and modules / / Igor B. Frenkel, Yi-Zhi Huang, James Lepowsky
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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) | |
| Soggetto genere / forma: | Electronic books. |
| 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.: | 9910480708403321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 104, Number 494.