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

By Alexander Kirillov

With roots within the 19th century, Lie thought has for the reason that chanced on many and sundry purposes 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 makes a speciality of the examine of semisimple Lie algebras, constructing the required concept alongside the best way. the cloth lined levels from simple definitions of Lie teams to the type of finite-dimensional representations of semisimple Lie algebras. Written in an off-the-cuff sort, this can be a modern advent to the topic which emphasizes the most innovations of the proofs and descriptions the required technical info, permitting the cloth to be conveyed concisely. in accordance with a lecture path given by means of the writer on the country collage of latest York at Stony Brook, the publication comprises various routines and labored examples and is perfect for graduate classes on Lie teams and Lie algebras.

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