Matrix Groups: An Introduction to Lie Group Theory

by Andrew Baker

This book offers a first taste of the theory of Lie groups, focusing mainly on matrix groups: closed subgroups of real and complex general linear groups. The first part studies examples and describes classical families of simply connected compact groups. The second section introduces the idea of a lie group and explores the associated notion of a homogeneous space using orbits of smooth actions. The emphasis throughout is on accessibility.

Genres: Mathematics, Science, Theory, Physics, Lie, Geometry, Algebra

341 pages, Paperback

First published December 1, 2001