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2003 On a Hopf operad containing the Poisson operad
Frédéric Chapoton
Algebr. Geom. Topol. 3(2): 1257-1273 (2003). DOI: 10.2140/agt.2003.3.1257

Abstract

A new Hopf operad Ram is introduced, which contains both the well-known Poisson operad and the Bessel operad introduced previously by the author. Besides, a structure of cooperad R 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 A hyperplane arrangement. A map from the operad Ram to the dual operad of R is defined which we conjecture to be a isomorphism.

Citation

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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

Information

Received: 20 January 2003; Revised: 12 December 2003; Accepted: 18 December 2003; Published: 2003
First available in Project Euclid: 21 December 2017

zbMATH: 1059.18005
MathSciNet: MR2026333
Digital Object Identifier: 10.2140/agt.2003.3.1257

Subjects:
Primary: 18D50
Secondary: 16W30

Rights: Copyright © 2003 Mathematical Sciences Publishers

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