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UNINA9910788751303321 |
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Autore |
Frenkel Igor |
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Titolo |
On axiomatic approaches to vertex operator algebras and modules / / Igor B. Frenkel, Yi-Zhi Huang, James Lepowsky |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 1993 |
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©1993 |
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ISBN |
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Descrizione fisica |
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1 online resource (79 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 104, Number 494 |
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Altri autori (Persone) |
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HuangYi-Zhi <1959-eauthor.> |
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Disciplina |
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Soggetti |
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Vertex operator algebras |
Modules (Algebra) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"July 1993, Volume 104, Number 494 (first of 6 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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 |
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