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

The contents of this quantity are a bit of various from the normal connotations of the name. First, the writer, taking into account the wishes of the physicist, has attempted to make the exposition as user-friendly as attainable. the necessity for an straightforward exposition has motivated the distribution of the fabric; the ebook is split into 3 principally self sufficient elements, 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. well-known between those are reductive complicated Lie teams (including semisimple groups), got from compact Lie teams by means of analytic continuation, and in addition their genuine types (reductive genuine Lie groups). the idea of finite-dimensional illustration for those periods of teams is constructed, striving each time 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 complicated Lie algebras. a few features of the idea of infinite-dimensional representations of Lie teams are offered in a short survey.

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