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Automorphic Forms and Lie Superalgebras (Algebra and Applications, 5) - Softcover

 
9789048172542: Automorphic Forms and Lie Superalgebras (Algebra and Applications, 5)

Synopsis

This book provides the reader with the tools to understand the ongoing classification and construction project of Lie superalgebras. It presents the material in as simple terms as possible. Coverage specifically details Borcherds-Kac-Moody superalgebras. The book examines the link between the above class of Lie superalgebras and automorphic form and explains their construction from lattice vertex algebras. It also includes all necessary background information.

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Review

From the reviews:

"The aim of this book is to present the very active theory of Borcherds-Kac-Moody Lie algebras and of G-graded vertex algebras at a level accessible to graduate students and mathematicians from other fields. An introduction of this type is certainly very desirable ... . The author of this review, being a mathematician from a different field ... may be a good test person for this book. I like the concept of the book ... ." (Rainer Schulze-Pillot, Mathematical Reviews, Issue 2008 e)

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  • PublisherSpringer
  • Publication date2010
  • ISBN 10 9048172543
  • ISBN 13 9789048172542
  • BindingPaperback
  • LanguageEnglish
  • Number of pages288

Other Popular Editions of the Same Title

9781402050091: Automorphic Forms and Lie Superalgebras (Algebra and Applications, 5)

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ISBN 10:  1402050097 ISBN 13:  9781402050091
Publisher: Springer, 2006
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book provides the reader with the tools to understand the ongoing classification and construction project of Lie superalgebras. It presents the material in as simple terms as possible. Coverage specifically details Borcherds-Kac-Moody superalgebras. The book examines the link between the above class of Lie superalgebras and automorphic form and explains their construction from lattice vertex algebras. It also includes all necessary background information. 296 pp. Englisch. Seller Inventory # 9789048172542

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Condition: New. Print on Demand pp. 298 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. Seller Inventory # 4274332

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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - A principal ingredient in the proof of the Moonshine Theorem, connecting the Monster group to modular forms, is the infinite dimensional Lie algebra of physical states of a chiral string on an orbifold of a 26 dimensional torus, called the Monster Lie algebra. It is a Borcherds-Kac-Moody Lie algebra with Lorentzian root lattice; and has an associated automorphic form having a product expansion describing its structure. Lie superalgebras are generalizations of Lie algebras, useful for depicting supersymmetry- the symmetry relating fermions and bosons. Most known examples of Lie superalgebras with a related automorphic form such as the Fake Monster Lie algebra whose reflection group is given by the Leech lattice arise from (super)string theory and can be derived from lattice vertex algebras. The No-Ghost Theorem from dual resonance theory and a conjecture of Berger-Li-Sarnak on the eigenvalues of the hyperbolic Laplacian provide strong evidence that they are of rank at most 26. The aim of this book is to give the reader the tools to understand the ongoing classification and construction project of this class of Lie superalgebras and is ideal for a graduate course. The necessary background is given within chapters or in appendices. Seller Inventory # 9789048172542

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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The only book specifically Borcherds-Kac-Moody algebras (apart from chapter 13 of Infinite dimensional Lie algebras, by Kac)The only book extending the theory to Borcherds-Kac-Moody superalgebrasThe only book on the link between the above c. Seller Inventory # 5821098

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