Groups, Generators, Syzygies, and Orbits in Invariant Theory

POPOV, V. L.; MARTSINKOVSKY, A. (trans.)

ISBN 10: 0821845578 / ISBN 13: 9780821845578

Published by American Mathematical Society, Providence, 1992

About this Item

Translations of Mathematical Monographs Vol. 100. vi, 245 p. 27 cm. Ex library with labels on front cover and inside rear, ink stamp on top edge.

Seller Inventory # 149971

Bibliographic Details

• Title: Groups, Generators, Syzygies, and Orbits in Invariant Theory
• Publisher: American Mathematical Society, Providence
• Publication Date: 1992
• ISBN 10: 0821845578
• ISBN 13: 9780821845578
• Binding: Hardcover
• Condition: ex library-good
• Seller catalogs:
  • Science

About this title

Synopsis

The history of invariant theory spans nearly a century and a half, with roots in certain problems from number theory, algebra, and geometry appearing in the work of Gauss, Jacobi, Eisenstein, and Hermite. Although the connection between invariants and orbits was essentially discovered in the work of Aronhold and Boole, a clear understanding of this connection had not been achieved until recently, when invariant theory was in fact subsumed by a general theory of algebraic groups.

Written by one of the major leaders in the field, this book provides an excellent, comprehensive exposition of invariant theory. Its point of view is unique in that it combines both modern and classical approaches to the subject. The introductory chapter sets the historical stage for the subject, helping to make the book accessible to nonspecialists.

About the Author

V.L. Popov, Moscow Technical University, Russia.