Lectures in Geometry, Semester V : Lie Groups and Lie Algebras

Condition Note: The Book is New Unused with Dust Jacket. Only listed as used because the dust jacket is slightly worn out after more than 30 years of storage. ALL CLEAN WHITE PAGES INSIDE WITH PERFECT BINDING. Rare SOVIET USSR HARDBOUND MIR 1986 book. 

1986 English Translation, Hard Bound, 438 Pages.

ABOUT THE BOOK This textbook like the rest of the series is compiled from lectures delivered by the author to students at Moscow State University. The audience was made up of final year students and postgraduates, and as a consequence, a certain level of knowledge (for example, the properties of manifolds) is assumed. The lectures fall into five parts. The first covers the basic concepts of Lie groups, Lie algebras, and the Lie algebra of a given Lie group. The second part deals with "locality theory", ihe third generalizes these Ideas. The first three sections could be used as a foundation course in Lie algebras for beginners. The fourth part considers Lie subgroups and Lie factor groups. The final part has a purely algebraic character, and is practically independent of the preceding four parts; it considers a proof of Ado's theorem, which is interesting in itself. This book will be useful for mathematics students taking courses in Lie algebras, because it contains all the major results and proofs in compact and accessible form.

ABOUT THE AUTHOR: M, Postnlkov received his doctor's degree (Phyi.-Math.) In 1954, from 1955 to 1960 was Professor of the Higher Algebra Department (Moscow State University) and since 1945 he has been Professor of the University's Department of Higher Geometry and Topology. He is a senior research worker at the Steklov Institute of Mathematics. In 1961 Prof. Postnikov was awarded Lenin Prize for a series of works on the Homotopy Theory of Continuous Maps. He is the author of several monographs and textbooks some of which have been translated into foreign languages.