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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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★★★★★ 5
Works well!
Color: Grey
Works great!
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Reviewed in the United States on May 4, 2026
★★★★★ 2
Low budget option
Color: Grey
Budget low quality if thats what youre looking for
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Reviewed in the United States on April 27, 2026
★★★★★ 3
Hard to assemble
Color: Grey
This is extremely hard to put together, but once its together it is pretty good. You will need to secure it to something. It falls over.
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Reviewed in the United States on March 6, 2026
★★★★★ 5
Perfect form and function.
Color: Black, Color: Black
Needed to keep the neighbors from seeing my gear.
Perfect.
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Reviewed in the United States on April 25, 2026
★★★★★ 5
Great investment, and easy to assemble.
Color: Grey
Excellent dividers for the home. I purchased this set 3 years ago and recently had to place another order because the first order proved to be a perfect accessory in my basement apartment.
As previously mentioned, I am in a basement apartment, and with these dividers, I can take an open space and create compartments. After a while, you forget that that open space was once a single room. These options added a great deal to my "Fonshuay," and lifestyle. This is a great investment and it was easy to assemble.
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Reviewed in the United States on September 11, 2025