A cochain complex associated to the Steenrod algebra
type: Item
instance of: scholarly article
title: A cochain complex associated to the Steenrod algebra
zbMATH Open document ID: 0845.55018
author: Nobuo Shimada
published in: Osaka Journal of Mathematics
publication date: 1996-09-15T00:00:00Z
review text: This paper gives an acyclic \(A\)-free resolution \(X= A\otimes \overline X\) of \(Z/2\) for the \(\text{mod } p\) Steenrod algebra \(A\). This one has inductively defined differential, contracting homotopy and is naturally embedded in the bar resolution \(B(A)\) as a direct summand. A filtration of \(X\) leads to an equivalent of the May spectral sequence. It is the hope of this work to be useful for calculating the differential in the May spectral sequence and the ring structure of \(H^*(A)\).
Mathematics Subject Classification ID: 55S10
Mathematics Subject Classification ID: 18G10
zbMATH DE Number: 720175
zbMATH Keywords: acyclic
zbMATH Keywords: Steenrod algebra
zbMATH Keywords: May spectral sequence
zbMATH Keywords: free resolution
reviewed by: Georges Hoff
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 720175