Mathematical Surveys and Monographs 1995; 196 pp; softcover Volume: 43 ISBN10: 0821852760 ISBN13: 9780821852767 List Price: US$75 Member Price: US$60 Order Code: SURV/43.S
 The book provides a useful exposition of results on the structure of semisimple algebraic groups over an arbitrary algebraically closed field. After the fundamental work of Borel and Chevalley in the 1950s and 1960s, further results were obtained over the next thirty years on conjugacy classes and centralizers of elements of such groups. A readerfriendly volume which will be very useful to those wishing to know more about the structure of algebraic groups ... contains both a straightforward guide to the simpler ideas in the subject, and also a fascinating glimpse into some of the more abstruse areas which are the subject of current investigation. Bulletin of the LMS Table of Contents  Review of semisimple groups
 Basic facts about classes and centralizers
 Centralizers of semisimple elements
 The adjoint quotient
 Regular elements
 Parabolic subgroups and unipotent classes
 The unipotent variety and the flag variety
 Nilpotent orbits and unipotent classes
 Finite groups of Lie type
 Springer's Weyl group representations
 Complements
 References
 Index
