Matrix Groups: An Introduction to Lie Group Theory

✍ Scribed by Andrew Baker

• Publisher: Springer
• Year: 2002
• Tongue: English
• Leaves: 332
• Series: Springer Undergraduate Mathematics Series
• Edition: 3rd reprinting 2006
• Category: Library

✦ Synopsis

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.