內容簡介
The first part of this book oDiscrete Subgroups of Lie Groups is writteby E.B. Vinberg, V.V. Gorbatsevich, and O.V. Shvartsman. Various types of discrete subgroups of Lie groups arise ithe theory of functions of complex variables, arithmetic, geometry, and crystallography. Since the foundatioof their general theory ithe 50-60s of this century, considerable and imany respects exhaustive results were obtained. This development is reflected ithis survey. Both semisimple and general Lie groups are considered. Part II oCohomologies of Lie Groups and Lie Algebras is writteby B.L. Feigiand D.B. Fuchs. It contains different definitions ofcohomologies of Lie groups and (both finite-dimensional and some infinite-dimensional)Lie algebras, the maimethods of their calculation, and the results of these calculations. The book cabe useful as a reference and research guide to graduate students and researchers idifferent areas of mathematics and theoretical physics.