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Lie Algebras

Door Nathan Jacobson

Categorie	Algemeen wetenschap
Boeknummer	#342603-ZA27
Titel	Lie Algebras
Auteur	Jacobson, Nathan
Boektype	Paperback
Uitgeverij	Neqw York ; Dover
Jaar van uitgave	1979
ISBN10	0486638324
ISBN13	9780486638324
Taal	Engels
Beschrijving	Paperback, illustrated with numerous equations and diagrams, 8vo. Dover Books on Mathematics.
Samenvatting	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 representati... (Lees verder)on 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.
Pagina's	331
Conditie	Goed — Name in pen on title page.
Prijs	€ 10,00

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