This book provides a thorough but relaxed mathematical treatment of Lie algebras.

Lie superalgebras are a natural generalization of Lie algebras, having applications in geometry, number theory, gauge field theory, and string theory. Introduct

The book describes integrable Toda type systems and their Lie algebra and differential geometry background.

This is an introduction to the theory of affine Lie Algebras, to the theory of quantum groups, and to the interrelationships between these two fields that are e