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

By Alexander Kirillov

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'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 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 kind, this can be a modern advent to the topic which emphasizes the most techniques of the proofs and descriptions the mandatory technical information, permitting the cloth to be conveyed concisely. in line with a lecture path given by means of the writer on the nation collage of latest York at Stony Brook, the ebook 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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