Motivated by work on the Steenrod algebra, Moore and Peterson introduced the notion of (graded) nearly Frobenius algebras; these were later renamed P-algebras by Margolis. This is a preliminary report on the development of an analogous theory for non-graded Hopf algebras which as far as I know is not in the algebra literature.
I will give a very brief overview of the graded theory, then explain one approach to emulating it based on filtered colimits of finite-dimensional Hopf algebras which are Frobenius extensions of each other.
This video is part of the New Directions in Group Theory and Triangulated Categories seminar series.
