Poincaré Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations, Volume 13

Front Cover
Cambridge University Press, Aug 18, 2005 - Mathematics - 193 pages
0 Reviews
Poincaré 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. Steenrod operations also originated in algebraic topology and they provide a noncommutative tool to study commutative algebras over a Galois field. 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.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Introduction
1
Poincare duality quotients
9
Macaulays dual systems and Frobenius powers
31
Poincare duality and the Steenrod algebra
53
Dickson symmetric and other coinvariants
81
The Hit Problem mod 2
93
Macaulays inverse systems and applications
133
References
177
Notation
185
Copyright

Other editions - View all

Common terms and phrases

About the author (2005)

Dagmar Meyer is Assistant Professor of Mathematics at Mathematiches Institut der Georg-August-Universität.

Larry Smith is a Professor of Mathematics at Mathematiches Institut der Georg-August-Universität.

Bibliographic information