By Veeravalli Seshadri Varadarajan
This booklet has grown out of a suite of lecture notes I had ready for a path on Lie teams in 1966. whilst I lectured back at the topic in 1972, I revised the notes considerably. it's the revised model that's now showing in publication shape. the idea of Lie teams performs a primary function in lots of components of arithmetic. there are many books at the topic at present to be had -most significantly these of Chevalley, Jacobson, and Bourbaki-which current numerous elements of the speculation in nice intensity. although, 1 feei there's a want for a unmarried e-book in English which develops either the algebraic and analytic features of the idea and which fits into the illustration thought of semi easy Lie teams and Lie algebras intimately. This e-book is an try and fiii this desire. it really is my desire that this ebook will introduce the aspiring graduate pupil in addition to the nonspecialist mathematician to the elemental topics of the topic. i've got made no try to speak about infinite-dimensional representations. this can be a very lively box, and a formal remedy of it's going to require one other quantity (if no more) of this measurement. although, the reader who desires to soak up this conception will locate that this e-book prepares him kind of good for that job.
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