Abstract
A new Hopf operad is introduced, which contains both the well-known Poisson operad and the Bessel operad introduced previously by the author. Besides, a structure of cooperad is introduced on a collection of algebras given by generators and relations which have some similarity with the Arnold relations for the cohomology of the type hyperplane arrangement. A map from the operad to the dual operad of is defined which we conjecture to be a isomorphism.
Citation
Frédéric Chapoton. "On a Hopf operad containing the Poisson operad." Algebr. Geom. Topol. 3 (2) 1257 - 1273, 2003. https://doi.org/10.2140/agt.2003.3.1257
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