Spectral sequences for the classification of extensions of Hopf algebras
type: Item
instance of: scholarly article
title: Spectral sequences for the classification of extensions of Hopf algebras
zbMATH Open document ID: 0887.57040
author: Gregory D. Henderson
published in: Journal of Algebra
publication date: 1998-05-11T00:00:00Z
review text: The author constructs spectral sequences which provide a way to compute the cohomology theory that classifies extensions of graded connected Hopf algebras over a commutative ring \(R\). Specifically, for \((A,B)\) an abelian matched pair of graded connected \(R\)-Hopf algebras, he constructs a pair of spectral sequences relating \(H^*(B,A)\) to \(\text{Ext}_B^{*,*} (R, \text{Cotor}_A^{*,*} (R,R))\). He examines the special case of \(B\) a monogenic graded connected Hopf algebra.
Mathematics Subject Classification ID: 57T05
Mathematics Subject Classification ID: 55T05
zbMATH DE Number: 1051512
zbMATH Keywords: Hopf algebra extension
zbMATH Keywords: graded connected Hopf algebras
zbMATH Keywords: spectral sequences
reviewed by: Earl J. Taft
MaRDI profile type: Publication
OpenAlex ID: W2002114663
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DOI: 10.1006/JABR.1997.6984
description: scientific article; zbMATH DE number 1051512