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Yu.A. Bahturin
This monograph is an important study of those Lie algebras which satisfy identical relations. It also deals with some of the applications of the theory. All principal results in the area are covered with the exception of those on Engel Lie algebras. The book contains basic information on Lie algebras, the varieties of Lie algebras in a general setting and the finite basis problem. An account is given of recent results on the Lie structure of associative PI algebras. The theory of identities in finite Lie algebras is also developed. In addition it contains applications to Group Theory, including some recent results on Burnside's problems.
The initial chapters are accessible to the general reader with only a university background in algebra. Subsequent chapters need a higher degree of sophistication. The book will be useful to advanced undergraduates, graduates and researchers in mathematics and physics.
1986;
x pages
ISBN 90-6764-052-2
Price: EUR 161/US$ 187
VSP, P.O. Box 346, 3700 AH Zeist, The Netherlands