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Poincare duality algebras originated in the work of topologists on the cohomology of closed manifolds, and Macaulay's dual systems in the study of irreducible ideals in polynomial algebras. These two ideas are tied together using basic commutative algebra involving Gorenstein algebras. Steenrod operations also originated in algebraic topology, but may best be viewed as a means of encoding the information often hidden behind the Frobenius map in characteristic p0. They provide a noncommutative tool to study commutative algebras over a Galois field. In this Tract the authors skilfully bring together these ideas and apply them to problems in invariant theory. A number of remarkable and unexpected interdisciplinary connections are revealed that will interest researchers in the areas of commutative algebra, invariant theory or algebraic topology.

Buy Poincare Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations book by Dagmar M. Meyer from Australia's Online Bookstore, Boomerang Books.

Book Details

ISBN: 9780521850643
ISBN-10: 0521850649
Format: Hardback
(228mm x 152mm x 21mm)
Pages: 202
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 18-Aug-2005
Country of Publication: United Kingdom

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Author Biography - Dagmar M. Meyer

Dagmar Meyer is Assistant Professor of Mathematics at Mathematiches Institut der Georg-August-Universitat. Larry Smith is a Professor of Mathematics at Mathematiches Institut der Georg-August-Universitat.