Alexander Kirillov's An Introduction to Lie Groups and Lie Algebras (Cambridge PDF

Alexander Kirillov's An Introduction to Lie Groups and Lie Algebras (Cambridge PDF

By Alexander Kirillov

With roots within the 19th century, Lie thought has considering that stumbled on many and sundry purposes 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 makes a speciality of the learn of semisimple Lie algebras, constructing the required thought alongside the best way. 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 variety, 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 path given by means of the writer on the country collage of latest York at Stony Brook, the e-book 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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