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 came upon many and sundry functions 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 learn of semisimple Lie algebras, constructing the mandatory conception alongside the best way. the cloth lined levels from simple definitions of Lie teams to the class of finite-dimensional representations of semisimple Lie algebras. Written in an off-the-cuff variety, this can be a modern creation to the topic which emphasizes the most ideas of the proofs and descriptions the required technical information, permitting the fabric to be conveyed concisely. according to a lecture path given through the writer on the kingdom collage of recent York at Stony Brook, the booklet comprises a number 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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