On the Peterson hit problem

By Nguyễn Sum. 2014

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Let Pk:=F2[x1,x2,…,xk]Pk:=F2[x1,x2,…,xk] be the polynomial algebra over the prime field of two elements, F2F2, in k variables x1,x2,…,xkx1,x2,…,xk, each of degree 1. We study the hit problem  , set up by F. Peterson, of finding a minimal set of generators for PkPk as a module over the mod-2 Steenrod algebra, AA. In this paper, we study a minimal set of generators for AA-module PkPk in some so-called generic degrees and apply these results to explicitly determine the hit problem for k=4k=4.

Subfields: Artificial Intelligence, Computational Theory and Mathematics, Industrial and Manufacturing Engineering

View Paper: https://www.semanticscholar.org/paper/06ee6f505676443050c68bd9a2062c04bf9744f2