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Lie Groups and Lie Algebras II

Discrete Subgroups of Lie Groups and Cohomologies of Lie Groups and Lie Algebras
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Description

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.
Release date Australia
December 16th, 1999
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Contributors
  • Contributions by B L Feigin
  • Contributions by D. B. Fuchs
  • Contributions by E.B. Vinberg
  • Contributions by O.V. Shvartsman
  • Contributions by V.V. Gorbatsevich
  • Edited by A.L. Onishchik
  • Edited by E.B. Vinberg
  • Translated by J. Danskin
Illustrations
VIII, 224 p.
Pages
224
Dimensions
156x234x14
ISBN-13
9783540505853
Product ID
2495016

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