On excess filtration on the Steenrod algebra
Atsushi Yamaguchi
TL;DR
This paper investigates the properties of excess filtration on the Steenrod algebra and develops the theory of unstable modules over certain Hopf algebras, enhancing understanding of algebraic structures in algebraic topology.
Contribution
It introduces new conditions on cocommutative graded Hopf algebras to advance the theory of unstable modules over the Steenrod algebra.
Findings
Characterization of excess filtration properties
Development of conditions for unstable module theory
Enhanced understanding of algebraic structures in topology
Abstract
In this note, we study some properties of the filtration of the Steenrod algebra defined from the excess of admissible monomials. We give several conditions on a cocommutative graded Hopf algebra A^* which enable us to develop the theory of unstable A^*-modules.
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