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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.
Paperback, 352 pages
Published December 1st 1979 by Dover Publications
(first published 1979)
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Make no mistakes, this book is a pain to read. Nevertheless, it deserves its five stars simply for the wealth of information it contains. There are plenty of results you will not find in any other book on Lie algebras, and many familiar results in much greater generality. And you will need them once you want to do some serious research on Lie algebras.