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Poincaré Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations (Cambridge Tracts in Mathematics)
Poincar Duality Algebras Macaulay's Dual Systems and Steenrod Operations - Cambridge Tracts in Mathematics Author:Dagmar M. Meyer, Larry Smith 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 autho... more »rs 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.« less