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 idea has on account that discovered many and sundry functions 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 research of semisimple Lie algebras, constructing the mandatory thought alongside the best way. the fabric coated levels from simple definitions of Lie teams to the class of finite-dimensional representations of semisimple Lie algebras. Written in an off-the-cuff sort, this can be a modern advent to the topic which emphasizes the most thoughts of the proofs and descriptions the mandatory technical info, permitting the cloth to be conveyed concisely. in accordance with a lecture path given via the writer on the kingdom college of recent York at Stony Brook, the booklet comprises 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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