Download E-books Lie Groups, Lie Algebras, and Some of Their Applications (Dover Books on Mathematics) PDF

By Robert Gilmore

Lie workforce thought performs an more and more very important function in sleek actual theories. lots of its calculations stay essentially unchanged from one box of physics to a different, changing basically when it comes to symbols and the language. utilizing the idea of Lie teams as a unifying motor vehicle, suggestions and effects from numerous fields of physics might be expressed in a really budget friendly means. With rigor and readability, this article introduces upper-level undergraduate scholars to Lie workforce conception and its actual applications.
An beginning dialogue of introductory innovations ends up in explorations of the classical teams, non-stop teams and Lie teams, and Lie teams and Lie algebras. a few uncomplicated yet illuminating examples are by means of examinations of classical algebras, Lie algebras and root areas, root areas and Dynkin diagrams, actual varieties, and contractions and expansions. bolstered through a number of routines, solved difficulties, and figures, the textual content concludes with a bibliography and indexes.

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