Introduction to Vertex Operator Superalgebras and Their Modules by Xiaoping XuIntroduction to Vertex Operator Superalgebras and Their Modules by Xiaoping Xu

Introduction to Vertex Operator Superalgebras and Their Modules

byXiaoping Xu

Paperback | December 4, 2010

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This book presents a systematic study on the structures of vertex operator superalgebras and their modules. Related theories of self-dual codes and lattices are included, as well as recent achievements on classifications of certain simple vertex operator superalgebras and their irreducible twisted modules, constructions of simple vertex operator superalgebras from graded associative algebras and their anti-involutions, self-dual codes and lattices. Audience: This book is of interest to researchers and graduate students in mathematics and mathematical physics.

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Title:Introduction to Vertex Operator Superalgebras and Their ModulesFormat:PaperbackDimensions:376 pages, 9.25 × 6.1 × 0 inPublished:December 4, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048150965

ISBN - 13:9789048150960

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Table of Contents

Preface. Introduction: Notational Conventions.I. Self-Dual Lattices and Codes. 1. Self-Dual Codes. 2. Self-Dual Lattices. II. Vertex Operator Superalgebras and Their Modules. 3. Definitions and General Properties. 4. Conformal Superalgebras, Affine Kac-Moody Algebras and KZ Equations. 5. Analogue of the Highest-Weight Theory. 6. Lattice Vertex Operator Superalgebras. 7. VOSAs Generated by Their Subspaces of Small Weights. Bibliography. Index.

Editorial Reviews

`... well-written, with many improvements of known results and existing proofs. The researchers and the graduate students will use this book both as a graduate textbook and as a useful reference...' Zentralblatt MATH, 929 (2000)