An Introduction to Lie Groups and Lie Algebras (Cambridge by Alexander Kirillov PDF

By Alexander Kirillov

ISBN-10: 0521889693

ISBN-13: 9780521889698

ISBN-10: 1316614107

ISBN-13: 9781316614105

With roots within the 19th century, Lie conception has considering that came upon many and sundry purposes in arithmetic and mathematical physics, to the purpose the place it's now considered as a classical department of arithmetic in its personal correct. This graduate textual content specializes in the learn of semisimple Lie algebras, constructing the required concept alongside the way in which. the cloth lined levels from uncomplicated definitions of Lie teams to the class of finite-dimensional representations of semisimple Lie algebras. Written in an off-the-cuff variety, this can be a modern advent to the topic which emphasizes the most innovations of the proofs and descriptions the mandatory technical information, permitting the cloth to be conveyed concisely. in accordance with a lecture direction given by means of the writer on the country college of latest York at Stony Brook, the e-book contains a variety of routines 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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