Poincaré duality algebras, Macaulay's dual systems, and Steenrod operations
Duality theory (Mathematics) Poincaré series Steenrod algebra
Cambridge University Press
2005
EISBN 9780511128240
Cover; Half-title; Title; Copyright; 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.
As the title suggests, in this Tract the authors skilfully bring together several key notions 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.
As the title suggests, in this Tract the authors skilfully bring together several key notions 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.
