Cohomology and duality for coalgebras over a quadratic operad
type: Item
instance of: scholarly article
title: Cohomology and duality for coalgebras over a quadratic operad
zbMATH Open document ID: 1182.18010
author: J. Martínez
published in: Journal of Generalized Lie Theory and Applications
publication date: 2009-05-20T00:00:00Z
review text: Given a finitely generated quadratic operad \(\mathcal P\) and a finitely dimensional \(\mathcal P\)-coalgebra \(V\) the authors define cohomology of \(V\) with coefficients in itself and show that it has the structure of a graded Lie algebra. They also show that this Lie algebra is isomorphic to the cohomology of the dual \(\mathcal P\)-algebra of \(V\) defined by \textit{D. Balavoine} [J. Pure Appl. Algebra 132, No. 3, 221--258 (1998; Zbl 0967.18004)].
reviewed by: Bernard Badzioch
Mathematics Subject Classification ID: 18D50
Mathematics Subject Classification ID: 20G10
Mathematics Subject Classification ID: 16T05
zbMATH DE Number: 5555671
zbMATH Keywords: quadratic operad
zbMATH Keywords: coalgebra
MaRDI profile type: Publication
full work available at URL: s090204
OpenAlex ID: W4250225784
DOI: 10.4303/JGLTA/S090204
description: scientific article; zbMATH DE number 5555671