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 on account that came upon many and sundry purposes 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 specializes in the examine of semisimple Lie algebras, constructing the mandatory thought alongside the best way. the cloth lined levels from simple definitions of Lie teams to the category of finite-dimensional representations of semisimple Lie algebras. Written in a casual kind, this can be a modern creation 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 keeping with a lecture direction given by means of the writer on the nation college of recent 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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