Cohomology of a Hopf algebra over \(Z_ 2\)
type: Item
instance of: scholarly article
title: Cohomology of a Hopf algebra over \(Z_ 2\)
zbMATH Open document ID: 0692.57018
author: Yutaka Ando
published in: Kodai Mathematical Journal
publication date: 1989-01-01T00:00:00Z
review text: The author considers a particular Hopf algebra A over \(Z_ 2\), which is related to group schemes. He gives an acyclic resolution of \(Z_ 2\) by A-comodules (this result is credited to M. Tezuka, unpublished), and he computes \(Ext_{A*}(Z_ 2,Z_ 2)\) and \(Cotor^ A(Z_ 2,Z_ 2)\).
reviewed by: Richard John Steiner
Mathematics Subject Classification ID: 57T05
Mathematics Subject Classification ID: 14L15
Mathematics Subject Classification ID: 16W30
Mathematics Subject Classification ID: 18G15
Mathematics Subject Classification ID: 55U99
zbMATH DE Number: 4133137
zbMATH Keywords: Hopf algebra over \(Z_ 2\)
zbMATH Keywords: group schemes
zbMATH Keywords: Ext
zbMATH Keywords: Cotor
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1138039101
OpenAlex ID: W1983020823
cites work: Q3257309
cites work: Twisted tensor products. I
cites work: On the cohomology mod 2 of the classifying space of the 1-connected exceptional Lie group \(E_7\)
cites work: On the Cohomology of Some Hopf Algebras
cites work: Q3884236
DOI: 10.2996/KMJ/1138039101
description: scientific article; zbMATH DE number 4133137