Lie Algebras

By: Jacobson, NathanMaterial type: TextTextSeries: Dover books on advanced mathematicsPublication details: New York : Dover, 1979Description: ix, 331 pagesISBN: 9780486638324; 0486638324 Subject(s): Lie algebrasDDC classification: 512.55
Contents:
Basic concepts -- Solvable and nilpotent lie algebras -- Cartan's criterion and its consequences -- Split semi-simple lie algebras -- Universal enveloping algebras -- The theorem of Ado-Iwasawa -- Classification of irreducible modules -- Characters of the irreducible modules -- Automorphisms -- Simple lie algebras over an arbitrary field.
Summary: Lie group theory, developed by M. Sophus Lie in the nineteenth century, ranks among the more important developments in modern mathematics. Lie algebras comprise a significant part of Lie group theory and are being actively studied. This book is a definitive treatment and can be used as a textbook for graduate courses.
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Stacks 		Reference 512.55 JAC (Browse shelf(Opens below)) Available 007933
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Includes Bibliography & Index

Basic concepts --
Solvable and nilpotent lie algebras --
Cartan's criterion and its consequences --
Split semi-simple lie algebras --
Universal enveloping algebras --
The theorem of Ado-Iwasawa --
Classification of irreducible modules --
Characters of the irreducible modules --
Automorphisms --
Simple lie algebras over an arbitrary field.


Lie group theory, developed by M. Sophus Lie in the nineteenth century, ranks among the more important developments in modern mathematics. Lie algebras comprise a significant part of Lie group theory and are being actively studied. This book is a definitive treatment and can be used as a textbook for graduate courses.

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