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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
Amazing!
I found this item online as a possible dupe to farmacy honey halo due to some matching ingredients. I have sensitive skin and prone to closed comedones. This is a fantastic moisturizer and definitely will be my new go to.
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Reviewed in the United States on April 2, 2026
★★★★★ 5
Happy face
I've been using this for the past six months and it's easily become my favorite moisturizer. It smells great and the gel consistency is just right, not watery or really thick. It's light, but a little bit sticky. My favorite thing is it doesn't sit on top of your skin and smear off like I've had other moisturizers do. Like If you run your finger down the side of your face you get a weird residue, like you would with sunblock. None of that here! I don't wear a full face of makeup, but as someone who has to create my own eyebrows daily the pens and pencils don't weakly smear on top like they do with the other moisturizers that coat your face. The lines turn out very smooth and opaque.
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Reviewed in the United States on September 1, 2023
★★★★★ 5
Great toothbrush for my cats
I was worried about this but it was actually great. It has real bristles like a real toothbrush and it is circular so you can just twist it in their mouth or have them bite it.
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Reviewed in the United States on June 24, 2021
★★★★★ 2
Did not work for my cat
I used to buy tubes of CET cat toothpaste which always used to come with a small replacement toothbrush. Now I can either buy a full size of the toothpaste, OR a "sample size" in a foil pouch with the toothbrush.
I thought I would give other toothbrushes a try.
My cat barely tolerates my use of the short toothbrushes. This one was wayyyy too long and without the stiff bristles that actually clean his teeth. I'll keep looking.
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Reviewed in the United States on November 20, 2023
★★★★★ 3
a bit pricey
fine, havent taught my ferrets to use it yet though, they still avoid it
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Reviewed in the United States on August 1, 2022
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