New PDF release: An Introduction to Lie Groups and Lie Algebras (Cambridge

By Alexander Kirillov

With roots within the 19th century, Lie concept has on account that discovered 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 research of semisimple Lie algebras, constructing the required idea alongside the way in which. the fabric coated levels from simple definitions of Lie teams to the type of finite-dimensional representations of semisimple Lie algebras. Written in a casual kind, it is a modern advent to the topic which emphasizes the most techniques of the proofs and descriptions the required technical information, permitting the fabric to be conveyed concisely. in response to a lecture path given by way of the writer on the kingdom collage of latest York at Stony Brook, the booklet contains quite a few workouts 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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