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

Poincaré Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations
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Dagmar M. Meyer 作者
Cambridge University Press
译者
2005-8-18 出版日期
202 页数
GBP 22.80 价格
Hardcover
Cambridge Tracts in Mathematics 丛书系列
9780521850643 图书编码

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


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Poincaré Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations 在线电子书 图书描述

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.

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