Journals Higher Education



Published: 24 August 2006

280 Pages

ISBN: 9780199202515

Also Available As:

Bookseller Code (06)

Lie Groups

An Introduction through Linear Groups

Wulf Rossmann

Oxford Graduate Texts in Mathematics

This book is an introduction to the theory of Lie groups and their representations at the advanced undergraduate or beginning graduate level. It covers the essentials of the subject starting from basic undergraduate mathematics. The correspondence between linear Lie groups and Lie algebras is developed in its local and global aspects. The classical groups are analyzed in detail, first with elementary matrix methods, then with the help of the structural tools typical of the theory of semi-simple groups, such as Cartan subgroups, root, weights and reflections.