Isbn: 9781402050091 - automorphic forms and lie superalgebras: 5 (14 risultati)

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Buch. Condizione: 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.…

Buch. Condizione: 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. 300 pp. Englisch.…

Gebunden. Condizione: 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.…

Buch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. 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. It examines the link between the above class of Lie superalgebras and automorphic form and explains their construction from lattice vertex algebras. It includes all necessary background information. Graduate students and researchers, in particular from the fields of algebra, number theory, conformal field theory and geometry, will be interested in this book's novel approach.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 300 pp. Englisch.…