Download E-books Lie Groups and Lie Algebras I: Foundations of Lie Theory Lie Transformation Groups PDF

By A. L. Onishchik (auth.), A. L. Onishchik (eds.)

From the reviews:
"This quantity contains components. ... half I is dedicated to a scientific improvement of the idea of Lie teams. The Lie algebras are studied basically in reference to Lie teams, i.e. a scientific research of the Lie algebras is incorporated right here. Neither the structural idea of the Lie teams and Lie algebras nor a scientific learn of the topology of Lie teams shape the topic of this quantity. nonetheless, half I encompasses a very fascinating bankruptcy on generalizations of Lie teams together with very contemporary effects. we discover right here Lie teams over non-archimedian fields, formal teams, limitless dimensional Lie teams and in addition analytic loops. half II bargains on a sophisticated point with activities of Lie teams on manifolds and comprises subjec ts like Lie teams activities on manifolds, transitive activities, activities of compact Lie teams on low-dimensional manifolds. notwithstanding the authors country that the geometry and topology of Lie teams is nearly fullyyt past the scope of this survey, you can still study much in those instructions. either components are very well written and will be strongly recommended."
European Mathematical Society publication, 1993 "... the publication has to be of serious aid for a researcher who already has a few thought of Lie idea, desires to hire it in his daily learn and/or educating, and desires a resource for conventional reference at the topic. From my point of view, the quantity is completely healthy to function this sort of source... this can be a hand- instead of a textbook. ... regularly, it's particularly a excitement, after making your self cozy in that favorite workplace armchair of yours, simply to retain the quantity lightly on your fingers and read it slowly and thoughtfully; and in any case, what extra on the earth can one count on of any book?"
The New Zealand Mathematical Society e-newsletter, 1994

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