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Download E-books Compact Lie Groups and Their Representations (Translations of Mathematical Monographs Reprint) PDF

The contents of this quantity are a bit of varied from the conventional connotations of the identify. First, the writer, taking into consideration the desires of the physicist, has attempted to make the exposition as basic as attainable. the necessity for an undemanding exposition has motivated the distribution of the cloth; the publication is split into 3 mostly self reliant components, prepared so as of accelerating hassle. in addition to compact Lie teams, teams with different topological constitution (``similar'' to compact teams in a few feel) are thought of. admired between those are reductive complicated Lie teams (including semisimple groups), acquired from compact Lie teams through analytic continuation, and in addition their actual kinds (reductive actual Lie groups). the idea of finite-dimensional illustration for those periods of teams is built, striving at any time when attainable to stress the ``compact origin'' of those representations, i.e. their analytic courting to representations of compact Lie teams. additionally studied are infinite-dimensional representations of semisimple advanced Lie algebras. a few facets of the speculation of infinite-dimensional representations of Lie teams are offered in a quick survey.

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