Wilson spaces and homological algebra for coalgebraic modules
type: Item
instance of: scholarly article
title: Wilson spaces and homological algebra for coalgebraic modules
zbMATH Open document ID: 1196.55005
author: Takuji Kashiwabara
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2010-05-26T00:00:00Z
review text: Let CTor be the coalgebraic tensor product functor. By definition, CTor's are the homology, in the category of Hopf algebras, of certain chain complexes constructed using infinite loop spaces associated to the Brown-Peterson spectrum. This homology is isomorphic to the homology of a smaller chain complex obtained using Wilson spaces (see [\textit{T. Kashiwabara} and \textit{W. S. Wilson}, J. Math. Kyoto Univ. 41, No.~1, 43--95 (2001; Zbl 1039.55004)]). In this paper the author formalizes this process and shows that such methods can be used efficiently to compute CTor's in certain cases.
Mathematics Subject Classification ID: 55N20
Mathematics Subject Classification ID: 55N22
Mathematics Subject Classification ID: 55P47
zbMATH DE Number: 5712612
zbMATH Keywords: Brown-Peterson spectrum
zbMATH Keywords: infinite loop space
zbMATH Keywords: Wilson spaces
zbMATH Keywords: CTor
reviewed by: Saïd Zarati
MaRDI profile type: Publication
full work available at URL: j.crma.2010.03.002
OpenAlex ID: W2075381088
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DOI: 10.1016/J.CRMA.2010.03.002
description: scientific article; zbMATH DE number 5712612