Loday-type Algebras and the Rota-Baxter Relation

2002/07/31 by Kurusch Ebrahimi-Fard · 1 citation
Physics and Astronomy · Mathematics · #math-ph #hep-th #math.MP #math.QA #msc:16B99 #msc:81T15 #msc:81T18 #msc:17B81

paper · pdf · doi:10.1023/a:1020712215075

published as Lett.Math.Phys. 61 (2002) 139-147 · 13 pages, no figures, short remark at the end of Sect. 4 added, minor typos corrected

arxiv created 2002/08/26 · arxiv updated 2009/11/30

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.

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