Coalgebraic tensor product and homology operations
type: Item
instance of: scholarly article
title: Coalgebraic tensor product and homology operations
zbMATH Open document ID: 1219.55011
author: Takuji Kashiwabara
published in: Algebraic \& Geometric Topology
publication date: 2010-08-11T00:00:00Z
review text: This paper is concerned with understanding further the tensor product of coalgebraic rings and modules of Hunton and Turner. The main result is that this coalgebraic tensor product is compatible with actions of a Hopf algebra over the base ring. The proof is done in three stages of increasing generality. The main case of interest is when the Hopf algebra is that of homology operations or the Steenrod algebra, which is treated as an example at the end of the paper. The case of the Dyer-Lashof algebra is also treated, with suggestions for future work on the subject.
Mathematics Subject Classification ID: 55S05
Mathematics Subject Classification ID: 16T15
Mathematics Subject Classification ID: 55N20
Mathematics Subject Classification ID: 55S10
Mathematics Subject Classification ID: 55S12
Mathematics Subject Classification ID: 57T05
Mathematics Subject Classification ID: 57T25
zbMATH DE Number: 5769283
zbMATH Keywords: coalgebraic tensor product
zbMATH Keywords: homology operation
zbMATH Keywords: cohomology operation
zbMATH Keywords: Hopf algebra
zbMATH Keywords: infinite loop space
reviewed by: Julie Bergner
MaRDI profile type: Publication
full work available at URL: agt.2010.10.1739
OpenAlex ID: W2068201757
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DOI: 10.2140/AGT.2010.10.1739
description: scientific article; zbMATH DE number 5769283