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Lie Algebras
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Lie Algebras Paperback - 1979

by Nathan Jacobson

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From the publisher

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 today. This book, by Professor Nathan Jacobson of Yale, is the definitive treatment of the subject and can be used as a text for graduate courses.
Chapter 1 introduces basic concepts that are necessary for an understanding of structure theory, while the following three chapters present the theory itself: solvable and nilpotent Lie algebras, Cartan's criterion and its consequences, and split semi-simple Lie algebras. Chapter 5, on universal enveloping algebras, provides the abstract concepts underlying representation theory. The basic results on representation theory are given in three succeeding chapters: the theorem of Ado-Iwasawa, classification of irreducible modules, and characters of the irreducible modules. In Chapter 9 the automorphisms of semi-simple Lie algebras over an algebraically closed field of characteristic zero are determined. These results are applied in Chapter 10 to the problems of sorting out the simple Lie algebras over an arbitrary field. The reader, to fully benefit from this tenth chapter, should have some knowledge about the notions of Galois theory and some of the results of the Wedderburn structure theory of associative algebras.
Nathan Jacobson, presently Henry Ford II Professor of Mathematics at Yale University, is a well-known authority in the field of abstract algebra. His book, Lie Algebras, is a classic handbook both for researchers and students. Though it presupposes knowledge of linear algebra, it is not overly theoretical and can be readily used for self-study.

Details

  • Title Lie Algebras
  • Author Nathan Jacobson
  • Binding Paperback
  • Edition Reprint
  • Pages 352
  • Volumes 1
  • Language ENG
  • Publisher Dover Publications, New York
  • Publication date December 1, 1979
  • ISBN 9780486638324 / 0486638324
  • Weight 0.83 lbs (0.38 kg)
  • Dimensions 8.26 x 6.44 x 0.71 in (20.98 x 16.36 x 1.80 cm)
  • Category Mathematics
  • Library of Congress subjects Lie algebras
  • Library of Congress Catalogue Number 79052006
  • Dewey Decimal Code 512.89

About the author

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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Lie Algebras
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Lie Algebras

by Nathan Jacobson

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Dover Publications, Incorporated, 1979. Paperback. Acceptable. Disclaimer:A readable copy. All pages are intact, and the cover is intact. Pages can include considerable notes-in pen or highlighter-but the notes cannot obscure the text. An ex-library book and may have standard library stamps and/or stickers.
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Lie Algebras
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Lie Algebras

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Dover Publications, Incorporated, 1979. Paperback. Very Good. May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less.Dust jacket quality is not guaranteed.
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Dover Publications, 1979. Paperback. Good. Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less.Dust jacket quality is not guaranteed.
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Lie Algeabras
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Lie Algeabras

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NY: Dover Publications, Inc., 1979. 331pp.; including bibliography and index. Textblock is clean and tight. Crease along the spine, lightly creased corners.. Wraps. Very Good. Illus. by Mathematics/Graphs, Drawings. 8vo - over 7¾" - 9¾" tall. Paperback.
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LIE ALGEBRAS
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LIE ALGEBRAS

by Jacobson, Nathan

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New York: Dover Publications, 1979. (1979), 331pp, slight shelfwear to cover, slight soiling ot top pg edges, contents clean.. Trade Paperback. Very Good -/No Jacket.
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Lie Algebras (Dover Books on Mathematics)
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Lie Algebras (Dover Books on Mathematics)

by Jacobson, Nathan

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Dover Publications, 1979-12-01. paperback. Used: Good. 6.44x0.71x8.26. Buy with confidence. Excellent Customer Service & Return policy.
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Lie Algebras
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Mineola: Dover, 1979. Paperback. Very Good+. 331 pages. unabridged corrected republication of the 1962 edition. ; 5 5/8 x 8 1/2
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Lie Algebras (Dover Books on Mathematics)
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Lie Algebras (Dover Books on Mathematics)

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Lie Algebras
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Lie Algebras

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