A-generators for Ideals in the Dickson Algebra

Abstract

The Dickson Algebra on q-variables is the algebra of invariants of the action of the mod-2 general linear group on a polynomial algebra in q-variables. We study the structure of certain ideals in this algebra as a module over the Steenrod Algebra A, and develop methods to determine which elements are hit by Steenrod operations. This allows us to display a very small set of A-generators for these ideals and show that the set is minimal in some cases.

Cite this paper

@inproceedings{Giambalvo1999AgeneratorsFI, title={A-generators for Ideals in the Dickson Algebra}, author={V. Giambalvo}, year={1999} }