Read e-book online An Introduction to Lie Groups and Lie Algebras (Cambridge PDF

By Alexander Kirillov

ISBN-10: 0521889693

ISBN-13: 9780521889698

ISBN-10: 1316614107

ISBN-13: 9781316614105

With roots within the 19th century, Lie concept has because came across 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 conception alongside the best way. the fabric lined levels from uncomplicated 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 suggestions of the proofs and descriptions the required technical info, permitting the cloth to be conveyed concisely. in response to a lecture direction given through the writer on the nation college of recent York at Stony Brook, the publication contains 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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