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

By Alexander Kirillov

ISBN-10: 0521889693

ISBN-13: 9780521889698

ISBN-10: 1316614107

ISBN-13: 9781316614105

With roots within the 19th century, Lie idea has due to the fact that came upon many and sundry purposes in arithmetic and mathematical physics, to the purpose the place it really 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. the cloth coated levels from uncomplicated definitions of Lie teams to the category of finite-dimensional representations of semisimple Lie algebras. Written in an off-the-cuff sort, this can be a modern creation to the topic which emphasizes the most recommendations of the proofs and descriptions the mandatory technical information, permitting the cloth to be conveyed concisely. in keeping with a lecture direction given by means of the writer on the nation collage of recent York at Stony Brook, the ebook contains various workouts and labored examples and is perfect for graduate classes on Lie teams and Lie algebras.

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

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Categories: Algebra