Loday-type Algebras and the Rota-Baxter Relation

Details Loday-type Algebras and the Rota-Baxter Relation Loday-type Algebras and the Rota-Baxter Relation

2002-07-29

arxiv.org/abs/math-ph/0207043v2

Lett.Math.Phys. 61 (2002) 139-147

Physics

Mathematical Physics

13 pages, no figures, short remark at the end of Sect. 4 added, minor typos corrected

Scientific paper

10.1023/A:1020712215075

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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