Loday-type Algebras and the Rota-Baxter Relation
Mathematical Physics
2007-05-23 v2 High Energy Physics - Theory
math.MP
Quantum Algebra
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.
Cite
@article{arxiv.math-ph/0207043,
title = {Loday-type Algebras and the Rota-Baxter Relation},
author = {Kurusch Ebrahimi-Fard},
journal= {arXiv preprint arXiv:math-ph/0207043},
year = {2007}
}
Comments
13 pages, no figures, short remark at the end of Sect. 4 added, minor typos corrected