Lie Algebras

Front Cover
Courier Corporation, 1979 - Mathematics - 331 pages
Definitive treatment covers split semi-simple Lie algebras, universal enveloping algebras, classification of irreducible modules, automorphisms, simple Lie algebras over an arbitrary field, and more. Classic handbook for researchers and students; useable in graduate courses or for self-study. Reader should have basic knowledge of Galois theory and the Wedderburn structure theory of associative algebras.
 

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Contents

Basic Concepts
1
Solvable and Nilpotent Lie Algebras
31
Cartans Criterion and Its Consequences
57
Split SemiSimple Lie Algebras
107
Universal Enveloping Algebras
151
The Theorem of AdoIwasawa
199
Classification of Irreducible Modules
207
Characters of the Irreducible Modules
239
Automorphisms
265
Simple Lie Algebras over an Arbitrary Field
289
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About the author (1979)

One of the world's leading researchers in abstract algebra, Nathan Jacobson (1910-95) taught at several prominent universities, including the University of Chicago, Johns Hopkins, and Yale.

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