Poincare Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations

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Last edited by MARC Bot
July 22, 2019 | History

Poincare Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations

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 p<>0. 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.

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Language
English
Pages
203

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The Physical Object

Format
eBook
Number of pages
203

ID Numbers

Open Library
OL24302567M
Internet Archive
poincaredualitya00dmey
ISBN 10
051112824X
OverDrive
38FBE8A9-8279-4321-A602-120176277AF0

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July 22, 2019 Edited by MARC Bot remove fake subjects
July 6, 2019 Edited by MARC Bot import existing book
June 30, 2010 Created by ImportBot new OverDrive book