An Introduction to Lie Groups and Lie Algebras (Cambridge - download pdf or read online

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By Alexander Kirillov

With roots within the 19th century, Lie thought has given that chanced on many and sundry functions in arithmetic and mathematical physics, to the purpose the place it truly is now considered as a classical department of arithmetic in its personal correct. This graduate textual content specializes in the examine of semisimple Lie algebras, constructing the mandatory concept alongside the best way. the cloth coated levels from easy definitions of Lie teams to the class of finite-dimensional representations of semisimple Lie algebras. Written in an off-the-cuff sort, it is a modern advent to the topic which emphasizes the most recommendations of the proofs and descriptions the required technical info, permitting the cloth to be conveyed concisely. in keeping with a lecture direction given through the writer on the kingdom college of recent York at Stony Brook, the e-book comprises a variety of workouts and labored examples and is perfect for graduate classes on Lie teams and Lie algebras.

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With roots within the 19th century, Lie idea has in view that came upon many and sundry functions in arithmetic and mathematical physics, to the purpose the place it truly is now considered as a classical department of arithmetic in its personal correct. This graduate textual content specializes in the examine of semisimple Lie algebras, constructing the required idea alongside the best way.

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An Introduction to Lie Groups and Lie Algebras (Cambridge Studies in Advanced Mathematics) by Alexander Kirillov


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