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Construction of Nijenhuis operators and dendriform trialgebras

Leroux Philippe

math.QAarXiv:math/0311132

Abstract

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.

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