Abstract Lie Algebras

Nonfiction, Science & Nature, Mathematics, Algebra
Cover of the book Abstract Lie Algebras by David J Winter, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: David J Winter ISBN: 9780486783468
Publisher: Dover Publications Publication: December 1, 2013
Imprint: Dover Publications Language: English
Author: David J Winter
ISBN: 9780486783468
Publisher: Dover Publications
Publication: December 1, 2013
Imprint: Dover Publications
Language: English
Solid but concise, this account of Lie algebra emphasizes the theory's simplicity and offers new approaches to major theorems. Author David J. Winter, a Professor of Mathematics at the University of Michigan, also presents a general, extensive treatment of Cartan and related Lie subalgebras over arbitrary fields.
Preliminary material covers modules and nonassociate algebras, followed by a compact, self-contained development of the theory of Lie algebras of characteristic 0. Topics include solvable and nilpotent Lie algebras, Cartan subalgebras, and Levi's radical splitting theorem and the complete reducibility of representations of semisimple Lie algebras. Additional subjects include the isomorphism theorem for semisimple Lie algebras and their irreducible modules, automorphism of Lie algebras, and the conjugacy of Cartan subalgebras and Borel subalgebras. An extensive theory of Cartan and related subalgebras of Lie algebras over arbitrary fields is developed in the final chapter, and an appendix offers background on the Zariski topology.
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Solid but concise, this account of Lie algebra emphasizes the theory's simplicity and offers new approaches to major theorems. Author David J. Winter, a Professor of Mathematics at the University of Michigan, also presents a general, extensive treatment of Cartan and related Lie subalgebras over arbitrary fields.
Preliminary material covers modules and nonassociate algebras, followed by a compact, self-contained development of the theory of Lie algebras of characteristic 0. Topics include solvable and nilpotent Lie algebras, Cartan subalgebras, and Levi's radical splitting theorem and the complete reducibility of representations of semisimple Lie algebras. Additional subjects include the isomorphism theorem for semisimple Lie algebras and their irreducible modules, automorphism of Lie algebras, and the conjugacy of Cartan subalgebras and Borel subalgebras. An extensive theory of Cartan and related subalgebras of Lie algebras over arbitrary fields is developed in the final chapter, and an appendix offers background on the Zariski topology.

More books from Dover Publications

Cover of the book Civil War Poetry by David J Winter
Cover of the book The Vintage Fashion Illustration Manual by David J Winter
Cover of the book The Seeds of Treason by David J Winter
Cover of the book The Creation of the Universe by David J Winter
Cover of the book The Sorrows of Young Werther/Die Leiden des jungen Werther by David J Winter
Cover of the book The History of Witchcraft and Demonology by David J Winter
Cover of the book Structurally Sound by David J Winter
Cover of the book Best Ghost and Horror Stories by David J Winter
Cover of the book Some Mathematical Methods of Physics by David J Winter
Cover of the book Early L. & J. G. Stickley Furniture by David J Winter
Cover of the book Nostromo by David J Winter
Cover of the book Old-Time Fruits and Flowers Vignettes in Full Color by David J Winter
Cover of the book How Santa Filled the Christmas Stockings by David J Winter
Cover of the book Slicko, the Jumping Squirrel by David J Winter
Cover of the book Make Your Own Ice Cream by David J Winter
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy