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On quadri-algebras

WWe describe the Koszul dual of the operad Quad of quadri-algebras, show the koszularity of Quad and give the formal series of Quad and its dual, which proves a conjecture due to Aguiar and Loday. A notion of quadri-bialgebra is also introduced, with applications to the Hopf algebras FQSym and WQSym.

3 nodes2 linksoverview mapOn quadri-algebras
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On quadri-algebras3 visible / 3 total nodes / 2 links
AuthorshipTopic signalWOn quadri-algebraspreprint / 2014ALoïc FoissyResearcherTmath.RA2176 works
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On quadri-algebras

preprint / 2014

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