Home Browse by Subject Bestsellers New Titles Editor's Choice New Reviews Textbooks
Search Book Series Study Guides Rights Inspection Copy Contact Us Join Our Mailing List
For Authors How to Order E-Catalogues

Browse all Subjects
Search Bookshop
New Titles
Editor's Choice
Bestsellers
Book Series
Textbooks
Journals
Join Our Mailing List
 
Series in Pure Mathematics - Vol. 13

INTRODUCTION TO COMPACT LIE GROUPS

by Howard D Fegan (University of New Mexico, USA)

There are two approaches to compact lie groups: by computation as matrices or theoretically as manifolds with a group structure. The great appeal of this book is the blending of these two approaches. The theoretical results are illustrated by computations and the theory provides a commentary on the computational work. Indeed, there are extensive computations of the structure and representation theory for the classical groups SU(n), SO(n) and Sp(n). A second exciting feature is that the differential geometry of a compact Lie group, both the classical curvature studies and the more recent heat equation methods, are treated. A large number of formulas for the connection and curvature are conveniently gathered together.

This book provides an excellent text for a first course in compact Lie groups.


Contents:

  • Calculus on Manifolds
  • Groups and Lie Groups
  • One-Parameter Subgroups and the Exponential Map
  • The Campbell-Baker-Hausdorff Formula
  • The Adjoint Representation
  • Maximal Tori
  • Representation Theory
  • Roots and Weights
  • Weyl's Formulae
  • Differential Operators on Compact Lie Groups
  • The Riemannian Geometry of a Compact Lie Group
  • The Trace of the Heat Kernel


Readership: Graduate students in mathematics, mathematicians and physicists.

148pp Pub. date: Jul 1991
ISBN 978-981-02-0702-1
981-02-0702-6
US$32 / £23
ISBN 978-981-02-3686-1(pbk)
981-02-3686-7(pbk)
US$20 / £14
This is a Print On Demand title. We no longer stock the original but will recreate a copy for you. While all efforts are made to ensure that quality is the same as the original, there may be differences in some areas of the design and packaging.

Request for inspection copy



Copyright © 2008 World Scientific Publishing Co. All rights reserved.
Updated on 9 May 2008