Poincaré Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations pdf epub mobi txt 电子书下载 2024

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Dagmar M. Meyer

Cambridge University Press

2005-8-18

202

GBP 22.80

Hardcover

Cambridge Tracts in Mathematics

9780521850643

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发表于2024-11-14

Poincaré Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Poincaré Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations pdf epub mobi txt 电子书下载 2024

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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.

Poincaré Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations 下载 mobi epub pdf txt 电子书