A complete and self-contained account of the basic theory of unitary group representations for graduate students and researchers.

The purpose of the book is to discuss the latest advances in the theory of unitary representations and harmonic analysis for solvable Lie groups. The orbit meth

This book is an introduction to semisimple Lie algebras. It is concise and informal, with numerous exercises and examples.

Lie groups and Lie algebras have become essential to many parts of mathematics and theoretical physics, with Lie algebras a central object of interest in their

This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on