Download E-books Groups, Generators, Syzygies, and Orbits in Invariant Theory (Translations of Mathematical Monographs) PDF

By V. L. Popov

The background of invariant conception spans approximately a century and a part, with roots in sure difficulties from quantity concept, algebra, and geometry showing within the paintings of Gauss, Jacobi, Eisenstein, and Hermite. even supposing the relationship among invariants and orbits was once basically stumbled on within the paintings of Aronhold and Boole, a transparent knowing of this connection had no longer been completed until eventually lately, while invariant idea used to be in truth subsumed by way of a basic concept of algebraic teams. Written by means of one of many significant leaders within the box, this booklet offers a superb, entire exposition of invariant concept. Its standpoint is exclusive in that it combines either glossy and classical ways to the topic. The introductory bankruptcy units the historic degree for the topic, aiding to make the ebook obtainable to nonspecialists.

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