Loday-type Algebras and the Rota-Baxter Relation
classification
🧮 math-ph
hep-thmath.MPmath.QA
keywords
algebrasrota-baxterdendriformloday-typerelationalwaysarbitraryassociative
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In this brief note we would like to report on an observation concerning the relation between Rota-Baxter operators and Loday-type algebras, i.e. dendriform di- and trialgebras. It is shown that associative algebras equipped with a Rota-Baxter operator of arbitrary weight always give such dendriform structures.
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