Download E-books Lie Groups: An Approach through Invariants and Representations (Universitext) PDF

By Claudio Procesi

Lie teams has been an expanding zone of concentration and wealthy examine because the center of the twentieth century. In Lie Groups: An process via Invariants and Representations, the author's masterful strategy provides the reader a finished therapy of the classical Lie groups in addition to an intensive advent to quite a lot of issues linked to Lie teams: symmetric services, conception of algebraic kinds, Lie algebras, tensor algebra and symmetry, semisimple Lie algebras, algebraic teams, team representations, invariants, Hilbert idea, and binary varieties with fields starting from natural algebra to practical analysis. By masking adequate historical past fabric, the e-book is made obtainable to a reader with a quite modest mathematical heritage. ancient info, examples, workouts are all woven into the textual content. This unique exposition is compatible for a huge viewers, together with complicated undergraduates, graduates, mathematicians in a number of parts from natural algebra to useful research and mathematical physics.

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