Loday-type Algebras and the Rota-Baxter Relation
arXiv:math-ph/0207043 · doi:10.1023/A:1020712215075
Abstract
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.
13 pages, no figures, short remark at the end of Sect. 4 added, minor typos corrected
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