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On a Hopf operad containing the Poisson operad
, 2002
"... Abstract A new Hopf operad Ram is introduced, which contains both the wellknown 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 wellknown 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
On intervals in some posets of forests
 Journal of Combinatorial Theory (Series A
"... We compute the characteristic polynomials of intervals in some posets of leaflabeled forests of rooted binary trees. 0 ..."
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We compute the characteristic polynomials of intervals in some posets of leaflabeled forests of rooted binary trees. 0
Supersolvable LLlattices of binary trees
, 2005
"... Some posets of binary leaflabeled trees are shown to be supersolvable lattices and explicit ELlabelings are given. Their characteristic polynomials are computed, recovering their known factorization in a different way. 1 ..."
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Some posets of binary leaflabeled trees are shown to be supersolvable lattices and explicit ELlabelings are given. Their characteristic polynomials are computed, recovering their known factorization in a different way. 1