New PDF release: Lie Groups, Lie Algebras, and Some of Their Applications

By Robert Gilmore

Lie team thought performs an more and more very important function in glossy actual theories. lots of its calculations stay essentially unchanged from one box of physics to a different, changing simply by way of symbols and the language. utilizing the idea of Lie teams as a unifying automobile, ideas and effects from numerous fields of physics may be expressed in an exceptionally competitively priced approach. With rigor and readability, this article introduces upper-level undergraduate scholars to Lie workforce idea and its actual applications.
An beginning dialogue of introductory thoughts results in explorations of the classical teams, non-stop teams and Lie teams, and Lie teams and Lie algebras. a few easy yet illuminating examples are by means of examinations of classical algebras, Lie algebras and root areas, root areas and Dynkin diagrams, actual kinds, and contractions and expansions. bolstered through a variety of workouts, solved difficulties, and figures, the textual content concludes with a bibliography and indexes.

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Lie Groups, Lie Algebras, and Some of Their Applications (Dover Books on Mathematics) by Robert Gilmore

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