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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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4.8 ★★★★★
Based on 17 reviews
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Product Reviews
★★★★★ 5
Great option for holding lots of necklaces
Color: Grey
It holds a lot of necklaces. Especially ones with thinner chains.
It gives you the option because there’s dividers that you can use any way you want. I probably have between 30 to 40 necklaces and this five drawer holder, and it takes a very little space on my vanity.
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Reviewed in the United States on November 20, 2025
★★★★★ 5
Liked it so much I bought a second one
Color: Grey
Good quality….a little disappointed I thought the sections were stationary, however I’m able to move them to accommodate the chain size. Clear color and light weight. Fits in with my decor. I ended up buying g a second one I liked it so much!
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Reviewed in the United States on November 10, 2025
★★★★★ 1
Dividers don’’t stay in place
Color: Beige
The dividers do not stay in place. It’s a great idea but not well executed because the dividers pop up or slide, leaving the necklaces to get tangled.
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Reviewed in the United States on December 8, 2025
★★★★★ 3
Slots inside drawers are not tight enough.
Color: Grey
I got an earring storage bin that matches this one and I do like this storage drawer set, but the little slots that separate the necklaces move around too easily and I don’t like that. It looks classy with the other stack I have.
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Reviewed in the United States on January 20, 2026
★★★★★ 5
Stylish and Practical Organization!
Color: Blue, Size: Rectangle
The CASIRENA Faux Leather Valet Tray Organizer is a game-changer for staying organized in style. This catch-all tray is not just functional; it's a sleek and elegant addition to any space.
Designed with a keen eye for detail, the faux leather exudes sophistication while the thoughtful compartments provide a designated spot for all your essentials – from keys to wallets. It's perfect for an entryway table or wall, offering quick access to everyday items.
The attention to quality is evident in the craftsmanship. The tray is durable and well-constructed, ensuring it stands the test of time. The blend of utility and aesthetics is truly commendable.
Say goodbye to misplaced keys and cluttered surfaces. The CASIRENA Valet Tray Organizer brings a touch of organization to your life while elevating your décor. It's a practical piece of art you'll wonder how you lived without.
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Reviewed in the United States on August 22, 2023