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Lie algebras

Author: Nathan Jacobson
Publisher: New York : Dover, 1979.
Series: Dover books on advanced mathematics.
Edition/Format:   Print book : EnglishView all editions and formats
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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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Nathan Jacobson
ISBN: 0486638324 9780486638324
OCLC Number: 6499793
Notes: "This Dover edition ... is an unabridged and corrected republication of the work originally published in 1962 by Interscience Publishers ..."--Title page verso.
Description: ix, 331 pages ; 21 cm.
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.
Series Title: Dover books on advanced mathematics.
Responsibility: by Nathan Jacobson.

Abstract:

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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