Construction of Nijenhuis operators and dendriform trialgebras

Mathematics – Quantum Algebra

Scientific paper

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21 pages

Scientific paper

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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