Fifty years after it made the transition from mimeographed lecture notes to a published book, Armand Borel's Introduction aux groupes arithmetiques continues to be very important for the theory of arithmetic groups. In particular, Chapter III of the book remains the standard reference for fundamental results on reduction theory, which is crucial in the study of discrete subgroups of Lie groups and the corresponding homogeneous spaces. The review of the original French version in Mathematical Reviews observes that ``the style is concise and the proofs (in later sections) are often demanding of the reader.'' To make the translation more approachable, numerous footnotes provide helpful comments.

Book Information
ISBN 9781470452315
Author Armand Borel
Format Paperback
Page Count 128
Imprint American Mathematical Society
Publisher American Mathematical Society