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arxiv: math/0311132 · v1 · submitted 2003-11-09 · 🧮 math.QA · math-ph· math.MP

Construction of Nijenhuis operators and dendriform trialgebras

classification 🧮 math.QA math-phmath.MP
keywords operatorsnijenhuisbialgebrasdendriformtrialgebrasbaxter-rotacalledclosely
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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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