By Veeravalli Seshadri Varadarajan
This publication has grown out of a collection 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 ebook shape. the speculation of Lie teams performs a primary position in lots of components of arithmetic. there are various books at the topic at the moment on hand -most significantly these of Chevalley, Jacobson, and Bourbaki-which current numerous facets of the idea in nice intensity. notwithstanding, 1 feei there's a desire for a unmarried booklet in English which develops either the algebraic and analytic points of the speculation and which matches into the illustration idea of semi basic Lie teams and Lie algebras intimately. This booklet is an try and fiii this desire. it truly is my desire that this e-book will introduce the aspiring graduate scholar in addition to the nonspecialist mathematician to the elemental topics of the topic. i've got made no try to talk about infinite-dimensional representations. it is a very lively box, and a formal therapy of it should require one other quantity (if no more) of this dimension. in spite of the fact that, the reader who desires to soak up this idea will locate that this booklet prepares him kind of good for that activity.
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