Lie superalgebras are a natural generalization of Lie algebras having applications in geometry
number theory gauge field theory and string theory. Introduction to Finite and Infinite
Dimensional Lie Algebras and Superalgebras introduces the theory of Lie superalgebras their
algebras and their representations. The material covered ranges from basic definitions of Lie
groups to the classification of finite-dimensional representations of semi-simple Lie algebras.
While discussing all classes of finite and infinite dimensional Lie algebras and Lie
superalgebras in terms of their different classes of root systems the book focuses on
Kac-Moody algebras. With numerous exercises and worked examples it is ideal for graduate
courses on Lie groups and Lie algebras.
