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.

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 superalgebras The only book on the link between the above class of Lie superalgebras and automorphic form The only book explaining their construction from lattice vertex algebras Material presented in as simple terms as possible

Inhalt
Borcherds-Kac-Moody Lie Superalgebras.- Singular Theta Transforms of Vector Valued Modular Forms.- ?-Graded Vertex Algebras.- Lorentzian BKM Algebras.