Translations of Mathematical Monographs 1991; 451 pp; softcover Volume: 91 Reprint/Revision History: reprinted 2000 ISBN10: 0821813420 ISBN13: 9780821813423 List Price: US$135 Member Price: US$108 Order Code: MMONO/91.S
 Lie groups are very general mathematical objects that appear in numerous areas such as topology, functional analysis, and algebra, as well as differential geometry and differential topology. The purpose of these two parts is to provide a guide to the topology of Lie groups and homogeneous spaces by bringing together a wide range of results relating to them. The first part thoroughly studies topological properties of the classical groups as typical examples of Lie groups. In the second part, the authors study general properties of compact Lie groups, particularly the exceptional groups. Reviews "The book could prove very useful for mathematicians or physicists interested in the basic topological and homotopytheoretic aspects of Lie groups and their homogeneous space."  Mathematical Reviews Table of Contents Contents of Part I  Classical groups
 Covering spaces and fibre bundles
 Cohomology groups of classical groups and their homogeneous spaces
 The periodicity of \(K\mathbf F\)groups and the homotopy groups
Contents of Part II  Compact Lie groups
 The MorseBott theory
 Cohomology of exceptional groups
