Open Access
May 2009 Cohomology and duality for coalgebras over a quadratic operad
Anita MAJUMDAR, Donald YAU
J. Gen. Lie Theory Appl. 3(2): 131-148 (May 2009). DOI: 10.4303/jglta/S090204


The cohomology of a~finite-dimensional coalgebra over a finitely generated quadratic operad, with coefficients in itself, is defined and is shown to have the structure of a graded Lie algebra. The cohomology of such a coalgebra is isomorphic to the cohomology of its linear dual as graded Lie algebras.


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Anita MAJUMDAR. Donald YAU. "Cohomology and duality for coalgebras over a quadratic operad." J. Gen. Lie Theory Appl. 3 (2) 131 - 148, May 2009.


Published: May 2009
First available in Project Euclid: 7 October 2011

zbMATH: 1182.18010
MathSciNet: MR2504874
Digital Object Identifier: 10.4303/jglta/S090204

Primary: 16W30 , 18D50 , 20G10

Rights: Copyright © 2009 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

Vol.3 • No. 2 • May 2009
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