One purpose of this book is to give a solid but compact account of the theory of Lie algebras over fields of characteristic 0, with emphasis on the basic simplicity of the theory and on new approaches to the major theorems. Another is to give a general and extensive treatment of Cartan and related sub-algebras of Lie algebras over arbitrary fields.The first two chapters present preliminary material on modules and non-associative algebras. This is followed by a compact self-contained development of the theory of Lie algebras ...
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One purpose of this book is to give a solid but compact account of the theory of Lie algebras over fields of characteristic 0, with emphasis on the basic simplicity of the theory and on new approaches to the major theorems. Another is to give a general and extensive treatment of Cartan and related sub-algebras of Lie algebras over arbitrary fields.The first two chapters present preliminary material on modules and non-associative algebras. This is followed by a compact self-contained development of the theory of Lie algebras of characteristic 0, covering the following topics: Solvable and nilpotent Lie algebras and the theorems of Lie and Cartan; Cartan subalgebras and Cartan's criteria for solvability and semisimplicity; Levi's radical splitting theorem and the complete reducibility of representations of semisimple Lie algebras; The theory of abstract root systems and the classification of semisimple Lie algebras; The isomorphism theorem for semisimple Lie algebras and their irreducible modules; and automorphisms of Lie algebras and the conjugacy of Cartan subalgebras and Borel subalgebras.The last chapter develops an extensive theory of Cartan and related subalgebras of Lie algebras over arbitrary fields, covering the following topics: Lie algebras graded by a group; nilpotent Lie algebras and their representations; Engel subalgebras and Fitting subalgebras; Cartan subalgebras; and tori in Lie "p"-algebras.
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Add this copy of Abstract Lie Algebras to cart. $13.00, very good condition, Sold by Common Crow Books rated 5.0 out of 5 stars, ships from Pittsburgh, PA, UNITED STATES, published 1972 by The MIT Press.
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Near Fine. Presumed first edition, 1972, hardcover with red cloth boards, octavo, 150pp., not illustrated. Book near fine with hint of wear to spine ends and corners, binding tight, text clean and unmarked. No DJ.
Add this copy of Abstract Lie Algebras to cart. $19.95, very good condition, Sold by GeorgeCrossBooks rated 4.0 out of 5 stars, ships from Lexington, MA, UNITED STATES, published 1972 by MIT Press.
Add this copy of Abstract Lie Algebras to cart. $35.00, very good condition, Sold by de Wit Books rated 4.0 out of 5 stars, ships from Hutchinson, KS, UNITED STATES, published 1972 by MIT Press.
Add this copy of Abstract Lie Algebras to cart. $40.00, very good condition, Sold by de Wit Books rated 4.0 out of 5 stars, ships from Hutchinson, KS, UNITED STATES, published 1972 by MIT PRESS.
Add this copy of Abstract Lie Algebras to cart. $41.92, very good condition, Sold by Fireside Bookshop rated 5.0 out of 5 stars, ships from Stroud, GLOUCESTERSHIRE, UNITED KINGDOM, published 1972 by MIT Press.
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Very Good in Good jacket. Size: 8vo-over 7¾"-9¾" tall; Type: Book Small plain label inside cover. D/J is complete but with some marking, rubbing and slight tears.
