Mathematical Surveys and Monographs 2000; 260 pp; hardcover Volume: 67 ISBN10: 0821808516 ISBN13: 9780821808511 List Price: US$68 Member Price: US$54.40 Order Code: SURV/67
 It has been nearly twenty years since the first edition of this work. In the intervening years, there has been immense progress in the use of homological algebra to construct admissible representations and in the study of arithmetic groups. This second edition is a corrected and expanded version of the original, which was an important catalyst in the expansion of the field. Besides the fundamental material on cohomology and discrete subgroups present in the first edition, this edition also contains expositions of some of the most important developments of the last two decades. Readership Graduate students and research mathematicians working in continuous cohomology. Table of Contents  Notation and preliminaries
 Relative Lie algebra cohomology
 Scalar product, Laplacian and Casimir element
 Cohomology with respect to an induced representation
 The Langlands classification and uniformly bounded representations
 Cohomology with coefficients in \(\Pi_\infty(G)\)
 The computation of certain cohomology groups
 Cohomology of discrete subgroups and Lie algebra cohomology
 The construction of certain unitary representations and the computation of the corresponding cohomology groups
 Continuous cohomology and differentiable cohomology
 Continuous and differentiable cohomology for locally compact totally disconnected groups
 Cohomology with coefficients in \(\Pi_\infty(G)\): The \(p\)adic case
 Differentiable cohomology for products of real Lie groups and t.d. groups
 Cohomology of discrete cocompact subgroups
 Noncompact \(S\)arithmetic subgroups
 Bibliography
 Index
