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

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By Alexander Kirillov

With roots within the 19th century, Lie idea has considering the fact that came upon many and sundry functions 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 makes a speciality of the learn of semisimple Lie algebras, constructing the required idea alongside the best way. the cloth lined levels from easy definitions of Lie teams to the category of finite-dimensional representations of semisimple Lie algebras. Written in an off-the-cuff variety, it is a modern creation to the topic which emphasizes the most options of the proofs and descriptions the mandatory technical information, permitting the cloth to be conveyed concisely. in line with a lecture path given by way of the writer on the nation college of latest York at Stony Brook, the ebook comprises a number 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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