- Shopping Bag ( 0 items )
Other sellers (Hardcover)
-
All (16) from $2.52
-
New (8) from $84.64
-
Used (8) from $2.52
More About This Textbook
Overview
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.
Product Details
Related Subjects
Meet the Author
Dagmar Meyer is Assistant Professor of Mathematics at Mathematiches Institut der Georg-August-Universität.
Larry Smith is a Professor of Mathematics at Mathematiches Institut der Georg-August-Universität.
Table of Contents
Introduction; Part I. Poincaré Duality Quotients: Part II. Macaulay's Dual Systems and Frobenius Powers: Part III. Poincaré Duality and the Steenrod Algebra: Part IV. Dickson, Symmetric, and Other Coinvariants: Part V. The Hit Problem mod 2: Part VI. Macaulay's Inverse Systems and Applications: References; Notation; Index.