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A Hopf operad of forests of binary trees and related finite-dimensional algebras (2002)

by Frédéric Chapoton
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On a Hopf operad containing the Poisson operad

by Frédéric Chapoton , 2002
"... 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 th ..."
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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. AMS Classification 18D50; 16W30

unknown title

by Frédéric Chapoton , 2008
"... Free hyperplane arrangements associated to labeled rooted trees ..."
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Free hyperplane arrangements associated to labeled rooted trees

ATG On a Hopf operad containing the Poisson

by Frédéric Chapoton , 2003
"... operad ..."
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unknown title

by Frédéric Chapoton , 2008
"... Free hyperplane arrangements associated to labeled rooted trees ..."
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Free hyperplane arrangements associated to labeled rooted trees
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