Generalized Dickson invariants

The action of the Steenrod Algebra on the Dickson invariants is studied in a certain ‘localized’ context. In this context one can define a completed version of the Steenrod Algebra which acts on the local Dickson invariants in a manner which extends the action of the Steenrod Algebra on the usual invariants. One can also construct an infinite Dickson Algebra which carries a left and a right action of the completed Steenrod Algebra and a nondegenerate bilinear form which makes those actions dual. Supported in part by the Alfred P. Sloan Foundation and the Edmund Landau Center for Research in Mathematical Analysis, sponsored by the Minerva Foundation (Germany).