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On axiomatic approaches to vertex operator algebras and modules / / Igor B. Frenkel, Yi-Zhi Huang, James Lepowsky
| On axiomatic approaches to vertex operator algebras and modules / / Igor B. Frenkel, Yi-Zhi Huang, James Lepowsky |
| Autore | Frenkel Igor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1993 |
| Descrizione fisica | 1 online resource (79 p.) |
| Disciplina | 512/.55 |
| Altri autori (Persone) | HuangYi-Zhi <1959-eauthor.> |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Vertex operator algebras
Modules (Algebra) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0071-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910480708403321 |
Frenkel Igor
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
On axiomatic approaches to vertex operator algebras and modules / / Igor B. Frenkel, Yi-Zhi Huang, James Lepowsky
| On axiomatic approaches to vertex operator algebras and modules / / Igor B. Frenkel, Yi-Zhi Huang, James Lepowsky |
| Autore | Frenkel Igor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1993 |
| Descrizione fisica | 1 online resource (79 p.) |
| Disciplina | 512/.55 |
| Altri autori (Persone) | HuangYi-Zhi <1959-eauthor.> |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Vertex operator algebras
Modules (Algebra) |
| ISBN | 1-4704-0071-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910788751303321 |
|
Frenkel Igor
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
On axiomatic approaches to vertex operator algebras and modules / / Igor B. Frenkel, Yi-Zhi Huang, James Lepowsky
| On axiomatic approaches to vertex operator algebras and modules / / Igor B. Frenkel, Yi-Zhi Huang, James Lepowsky |
| Autore | Frenkel Igor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1993 |
| Descrizione fisica | 1 online resource (79 p.) |
| Disciplina | 512/.55 |
| Altri autori (Persone) | HuangYi-Zhi <1959-eauthor.> |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Vertex operator algebras
Modules (Algebra) |
| ISBN | 1-4704-0071-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910812413103321 |
|
Frenkel Igor
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||