Loday-type Algebras and the Rota-Baxter Relation
Abstract
Description
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
13 pages, no figures, short remark at the end of Sect. 4 added, minor typos corrected