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612-822-4611
Poincare Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations

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

Hardcover

Series: Cambridge Tracts in Mathematics, Book 167

Algebra

ISBN10: 0521850649
ISBN13: 9780521850643
Publisher: Cambridge University Press
Published: Aug 18 2005
Pages: 202
Weight: 0.95
Height: 0.65 Width: 6.28 Depth: 9.26
Language: English
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.

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Algebra