A duality theorem for Hopf comodule coalgebras
type: Item
instance of: scholarly article
title: A duality theorem for Hopf comodule coalgebras
zbMATH Open document ID: 0814.16038
published in: Chinese Science Bulletin
publication date: 1994-11-29T00:00:00Z
review text: Let \(H\) be a finite dimensional Hopf algebra, \(C\) a left \(H\)-comodule coalgebra. Then, under a technical hypothesis that a certain right \(H^*\) coaction is strongly co-inner, the author shows that \((C\times H) \times H^* \cong C \otimes (H \times H^*)\). This is the analogue of a duality theorem for Hopf module algebras due to \textit{R. Blattner} and \textit{S. Montgomery} [J. Algebra 95, 153-172 (1985; Zbl 0589.16010)].
Mathematics Subject Classification ID: 16W30
Mathematics Subject Classification ID: 16S40
zbMATH DE Number: 682121
zbMATH Keywords: finite dimensional Hopf algebra
zbMATH Keywords: left \(H\)-comodule coalgebra
zbMATH Keywords: coaction
zbMATH Keywords: duality theorem
zbMATH Keywords: Hopf module algebras
author: Shuanhong Wang
reviewed by: Earl J. Taft
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 682121