By Alexander Kirillov

With roots within the 19th century, Lie conception has for the reason that stumbled on many and sundry functions in arithmetic and mathematical physics, to the purpose the place it truly is now considered as a classical department of arithmetic in its personal correct. This graduate textual content specializes in the learn of semisimple Lie algebras, constructing the mandatory concept alongside the way in which. the cloth coated levels from easy 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 creation 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 keeping with a lecture direction given through the writer on the kingdom collage of recent 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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