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V.A. - Just Dance Volume 1&2
V.A. - Just Dance Volume 1&2
Date: 24 Dec 2006, 20:26
Pages: 223

The first part of this book on Discrete Subgroups of Lie Groups is written by E.B.

Vinberg, V.V. Gorbatsevich, and O.V. Shvartsman. Various types of discrete subgroups of

Lie groups arise in the theory of functions of complex variables, arithmetic, geometry,

and crystallography. Since the foundation of their general theory in the 50-60s of this

century, considerable and in many respects exhaustive results were obtained. This

development is reflected in this survey. Both semisimple and general Lie groups are

considered. Part II on Cohomologies of Lie Groups and Algebras is written by B.L. Feigin

and D. B.Fuchs. It contains different definitions of cohomologies of Lie groups and (both

finite-dimensional and some infinite-dimensional) Lie algebras, the main methods of their

calculation, and the results of these calculations. The book can be useful as a reference

and research guide to graduate students and researchers in different areas of mathematics

and theoretical physics.


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