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Item Details
Title:
POINCARE DUALITY ALGEBRAS, MACAULAY'S DUAL SYSTEMS, AND STEENROD OPERATIONS
By:
Dagmar M. Meyer, Larry Smith
Format:
Hardback
List price:
£111.00
Our price:
£97.13
Discount:
12.5
% off
You save:
£13.87
ISBN 10:
0521850649
ISBN 13:
9780521850643
Availability:
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available
Publisher:
CAMBRIDGE UNIVERSITY PRESS
Pub. date:
18 August, 2005
Series:
Cambridge Tracts in Mathematics No. 167
Pages:
202
Description:
A monograph demonstrating remarkable and unexpected interdisciplinary connections in the areas of commutative algebra, invariant theory and algebraic topology.
Synopsis:
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.
Illustrations:
5 b/w illus. 5 tables
Publication:
UK
Imprint:
Cambridge University Press
Returns:
Returnable
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