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

By Alexander Kirillov

ISBN-10: 0521889693

ISBN-13: 9780521889698

ISBN-10: 1316614107

ISBN-13: 9781316614105

With roots within the 19th century, Lie idea has considering 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 idea alongside the way in which. the fabric coated levels from easy definitions of Lie teams to the category of finite-dimensional representations of semisimple Lie algebras. Written in a casual sort, this can be a modern creation to the topic which emphasizes the most techniques of the proofs and descriptions the required technical info, permitting the fabric to be conveyed concisely. in accordance with a lecture path given by way of the writer on the nation collage of latest York at Stony Brook, the e-book comprises a number of 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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