Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups

Download or read book Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups written by Armand Borel and published by American Mathematical Soc.. This book was released on 2000 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deals with two types of cohomology spaces pertaining to reductive Lie group G and a discrete cocompact subgroup. Material presented here naturally divides into two parts, one devoted mainly to real Lie groups, the other to locally compact totally disconnected groups, in particular reductive p-adic groups, or products of real Lie groups and totally disconnected groups. Each part in turn contains roughly three main items: general results on the cohomology used, specific results for cohomology and representations of reductive groups, and applications to discrete cocompact subgroups. This second edition reports on developments in the field since 1980. Annotation copyrighted by Book News, Inc., Portland, OR.