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math.CO2020
Quadri-algebras, preLie algebras, and the Catalan family of Lie idempotents
Loïc Foissy, Frédéric Menous, Jean-Christophe Novelli +1
We compute the expansion of the Catalan family of Lie idempotents introduced in [Menous et al., Adv. Applied Math. 51 (2013), 177-22] on the PBW basis of the Lie module. It is foun…
math.CO2020★ 7 cited
Generalized dendrifom algebras and typed binary trees
Loic Foissy
We here both unify and generalize nonassociative structures on typed binary trees, that is to say plane binary trees which edges are decorated by elements of a set . We prove th…