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Description
Lie Groups, Lie Algebras, and Some of Their ApplicationsLie group theory plays an increasingly important role in modern physical theories. Many of its calculations remain fundamentally unchanged from one field of physics to another, altering only in terms of symbols and the language. Using the theory of Lie groups as a unifying vehicle, concepts and results from several fields of physics can be expressed in an extremely economical way. With rigor and clarity, this text introduces upper level undergraduate
Lie group theory plays an increasingly important role in modern physical theories. Many of its calculations remain fundamentally unchanged from one field of physics to another, altering only in terms of symbols and the language. Using the theory of Lie groups as a unifying vehicle, concepts and results from several fields of physics can be expressed in an extremely economical way. With rigor and clarity, this text introduces upper-level undergraduate students to Lie group theory and its physical applications.An opening discussion of introductory concepts leads to explorations of the classical groups, continuous groups and Lie groups, and Lie groups and Lie algebras. Some simple but illuminating examples are followed by examinations of classical algebras, Lie algebras and root spaces, root spaces and Dynkin diagrams, real forms, and contractions and expansions. Reinforced by numerous exercises, solved problems, and figures, the text concludes with a bibliography and indexes.
Binding Type: Paperback
Publisher: Dover Publications
Published: 01/04/2006
ISBN: 9780486445298
Pages: 587
Weight: 1.39lbs
Size: 8.48h x 5.48w x 1.20d
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★★★★★ 5
Fun, interactive toy!
So much fun! Bought this for my lab. She wasn't sure what to think of it at first but seems to love it now! I like that it's rechargeable too.
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Reviewed in the United States on April 20, 2026
★★★★★ 5
Happy puppy.
Color: Blue
My puppy loves his. He carry's it around and throws it. He knows how to turn it on himself. Charges quick.
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Reviewed in the United States on May 6, 2026
★★★★★ 5
Overall, I highly recommend it!”
Great toy! My dog loves it 🐶 The ball moves on its own and keeps him entertained for a long time. It’s perfect when I’m busy or not at home.
Good quality and fun, but maybe not the best for very aggressive chewers.
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Reviewed in the United States on April 5, 2026
★★★★★ 2
Puppy loves it but the battery is awful
Color: Blue
Our puppy loves playing with this ball, it does what it says and keeps her occupied for the entire 10-15 minutes the battery lasts. I have to charge it several times a day, though the light never flashes red when the battery is low, it just doesn't work anymore. It also makes a beeping sound when she's playing with it that is super annoying, which sucks because the ball itself isn't super noisy even in the hardwood floors. I wouldn't purchase this again, and we'll probably have to toss it out within a week or two, I really don't see this thing lasting very long. Without the movement, it isn't a ball we would let her play with because she is a strong chewer and the material doesn't seem chew proof at all. I'm only giving it 2 stars because she really does love playing with it, but the battery life and beeping sound are atrocious.
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Reviewed in the United States on May 2, 2026
★★★★★ 1
Doesn’t hold charge
Didn’t last a week. Won’t charge. Shows fully charged but doesn’t move
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Reviewed in the United States on May 4, 2026
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