Introduction to Vertex Operator Algebras and Their Representations

Lepowsky, James; Li, Haisheng

ISBN 10: 0817634088 / ISBN 13: 9780817634087

Editore: Birkhäuser, 2003

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Dati bibliografici

• Titolo: Introduction to Vertex Operator Algebras and Their Representations
• Editore: Birkhäuser
• Data di pubblicazione: 2003
• Lingua: Inglese
• ISBN 10: 0817634088
• ISBN 13: 9780817634087
• Rilegatura: Rilegato
• Condizione: New

Descrizione articolo

Riassunto

* Introduces the fundamental theory of vertex operator algebras and its basic techniques and examples. * Begins with a detailed presentation of the theoretical foundations and proceeds to a range of applications. * Includes a number of new, original results and brings fresh perspective to important works of many other researchers in algebra, lie theory, representation theory, string theory, quantum field theory, and other areas of math and physics.

Recensione

"...[The] authors give a systematic introduction to the theory of vertex operator algebras and their representations. Particular emphasis is put on the axiomatic development of the theory and the construction theorems for vertex operator algebras and their modules. The book provides a detailed study of most basic families of vertex operator algebras and their representation theory. A number of new, original results are presented.... This excellent book is written in a self-contained manner with detailed proofs. It will be useful for graduate students and active researchers interested in the theory of vertex operator algebras and their applications." --Mathematical Reviews

"The book under review treats modules for vertex operator algebras and, more importantly, it gives an answer to the following important questions:"How do we construct modules for VOAs?" The answer to this question is the essense of this new exciting book. . . The book is written with care, clarity and pateience which is typical for both authros.  It is self-contained with no details omitted.  Misprints are most probably rare (if any). Even an advanced undergraduate can pick up a book and learn a whole new exciting subject. In my opinion this beautiful book has only one shortcoming - the list of references (around 600 items!). The authors were kind enough to give credit to almost everyone who ever contributed in some way to vertex operator algebra theory." --Zentralblatt Math

"The book gives a sound introduction in the theory of vertex algebras emphasizing in particular the construction of families of examples by means of a kind of representations developped by the second named author." --Monatsheft für Mathematik