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On axiomatic approaches to vertex operator algebras and modules /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Frenkel, Igor (Autor), Lepowsky, J. (James) (Autor)
Otros Autores: Huang, Yi-Zhi, 1959-eauthor
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 1993.
Colección:Memoirs of the American Mathematical Society ; Volume 104, no. 494.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Frenkel, Igor,  |e author. 
245 1 0 |a On axiomatic approaches to vertex operator algebras and modules /  |c Igor B. Frenkel, Yi-Zhi Huang, James Lepowsky. 
264 1 |a Providence, Rhode Island :  |b American Mathematical Society,  |c 1993. 
264 4 |c ©1993 
300 |a 1 online resource (79 pages) 
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490 1 |a Memoirs of the American Mathematical Society,  |x 0065-9266 ;  |v Volume 104, Number 494 
500 |a "July 1993, Volume 104, Number 494 (first of 6 numbers)." 
504 |a Includes bibliographical references. 
588 0 |a Print version record. 
505 0 |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 
505 8 |a 3.3. Rationality of iterates and associativity3.4. 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 
505 8 |a 5.1. Duality for one module element and two algebra elements5.2. 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 
546 |a English. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Vertex operator algebras. 
650 0 |a Modules (Algebra) 
650 6 |a Algèbres d'opérateurs des sommets. 
650 6 |a Modules (Algèbre) 
650 7 |a Modules (Algebra)  |2 fast 
650 7 |a Vertex operator algebras  |2 fast 
700 1 |a Huang, Yi-Zhi,  |d 1959-eauthor. 
700 1 |a Lepowsky, J.  |q (James),  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PBJvHdJDXbJxp9Kv3vrGPwC 
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830 0 |a Memoirs of the American Mathematical Society ;  |v Volume 104, no. 494. 
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