num_pages: 343
description: 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.
language: English
title: Matrix Groups: An Introduction to Lie Group Theory
titlecomplete: Matrix Groups: An Introduction to Lie Group Theory
genres: Lie, Geometry, Mathematics, Theory, Algebra, Physics
ratings_count: 12
publisher: Springer