Poincaré Duality Algebras, Macaulays Dual Systems, and Steenrod Operations (Cambridge Tracts in Math

Cambridge Core - Algebra - Poincaré Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations - by Dagmar M. Meyer. Mathematics, Mathematics, Geometry and Topology; Series: Cambridge Tracts in Mathematics ().
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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.


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Macaulay's Dual Systems and Frobenius Powers: Dickson, Symmetric, and Other Coinvariants: The Hit Problem mod 2: Macaulay's Inverse Systems and Applications: This title is available for institutional purchase via Cambridge Core Cambridge Core offers access to academic eBooks from our world-renowned publishing programme.

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Poincaré duality algebras mod two - ScienceDirect

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View all Google Scholar citations for this book. Email your librarian or administrator to recommend adding this book to your organisation's collection. 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. To send content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account.

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

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