On the hit problem for the polynomial algebra
video: comming soon.
abstract:
We study the problem of determining a minimal set of generators
for the polynomial algebra
\(P_k := \mathbb{F}_2[x_1,x_2,\ldots,x_k]\)
as a module over the mod2 Steenrod algebra, \(\mathcal{A}\).
In this paper, we study a minimal set of generators for
\(\mathcal{A}\)module \(P_k\) in some socall generic degrees
and apply these results to explicitly determine the hit problem
for \(k=4\).
