Construction of Nijenhuis operators and dendriform trialgebras

Philippe Leroux (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

Nijenhuis operators are constructed from particular bialgebras called dendriform- Nijenhuis bialgebras. It turns out that such operators commute with TD-operators, kind of Baxter-Rota operators, and therefore closely related to dendriform trialgebras. Examples are given.

Domaines: Algèbres quantiques [math.QA]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

Philippe Leroux. Construction of Nijenhuis operators and dendriform trialgebras. International Journal of Mathematics and Mathematical Sciences, 2004, 49-52, pp.2595-2615. ⟨hal-00131670⟩