Infinite-Dimensional Lie Algebras

Presents an introduction to the structure of finite-dimensional simple Lie algebras, including the representation of ${\widehat {\mathfrak {sl}}}(2, {\mathbb C})$, root systems, the Cartan matrix, and a Dynkin diagram of a finite-dimensional simple Lie algebra. This book explains the structure of and character formula for Kac-Moody superalgebras.