Non-Fiction Books:

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

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$348.00
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Description

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. 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.

Author Biography:

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.
Release date NZ
August 18th, 2005
Audience
  • Professional & Vocational
Illustrations
Worked examples or Exercises; 5 Tables, unspecified; 5 Line drawings, unspecified
Pages
202
Dimensions
160x236x21
ISBN-13
9780521850643
Product ID
3638621

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