✦ LIBER ✦

A-generators for ideals in the Dickson algebra

✍ Scribed by V. Giambalvo; F.P. Peterson

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 197 KB
Volume: 158
Category: Article
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(00)00051-7

No coin nor oath required. For personal study only.

✦ Synopsis

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.

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