Poincaré Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations |
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| Author:
| Smith, Larry
Meyer, Dagmar M. |
| Series title: | Cambridge Tracts in Mathematics Ser. |
| ISBN: | 978-0-521-85064-3 |
| Publication Date: | Aug 2005 |
| Publisher: | Cambridge University Press
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| Book Format: | Hardback |
| List Price: | USD $142.00 |
Book Description:
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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...
More DescriptionPoincaré 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.