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Lie Groups and Lie Algebras II : Discrete Subgroups of Lie Groups and Cohomologies of Lie Groups and Lie Algebras : Discrete Subgroups of Lie Groups and Cohomologies of Lie Groups and Lie Algebras - A.L. Onishchik

Lie Groups and Lie Algebras II : Discrete Subgroups of Lie Groups and Cohomologies of Lie Groups and Lie Algebras

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

By: A.L. Onishchik (Editor), J. Danskin (Translator), B.L. Feigin (Contribution by)

Hardcover | 1 July 2009

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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.
Industry Reviews

"... As always, a most useful compendium."

Mathematika 2002, Issue 93-94

You Can Find This Book In

Non-FictionMathematicsGroups & Group TheoryAlgebraMathematical FoundationSet TheoryMedicineMedicine in GeneralGeometryAlgebraic GeometryDifferential & Riemannian GeometryScience
PhysicsTopologyNumber Theory

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