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Description
Abstract Lie AlgebrasSolid 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
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.
Binding Type: Paperback
Publisher: Dover Publications
Published: 01/11/2008
ISBN: 9780486462820
Pages: 150
Weight: 0.37lbs
Size: 8.41h x 5.52w x 0.31d
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★★★★★ 4
Keeps your dog busy
Color: Blue
Good toy to keep your dog busy. Make sure you check it periodically to ensure it stays together.
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Reviewed in the United States on April 3, 2026
★★★★★ 5
dog ball
Color: Blue
This ball is perfect for keeping my dog active and entertained. It's made of strong, durable material, ideal for games of fetch. It doesn't break easily and is light enough for him to carry in his mouth without any problem.
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Reviewed in the United States on February 23, 2026
★★★★★ 2
Fun but not for rough play.
Color: Orange
The ball contented our “golden” Jaxson for about 15 minutes. He then thought it was a regular ball and it’s just a little delicate for a big dog. I just wrote it off as a loss. Great idea but should be more durable.
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Reviewed in the United States on April 7, 2026
★★★★★ 5
Long lasting charge!
Color: Orange
My 50 pound goldendoodle absolutely loves this ball. It keeps a charge for a long time. It turns off
When it’s not being used and we play with it every day.!
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Reviewed in the United States on March 24, 2026
★★★★★ 5
Fun toy
Color: Orange
My standard poodle loves this toy. It holds a charge for several hours and is well made
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Reviewed in the United States on April 8, 2026