@article{7e6b354665e242e484cf22f06f2d6ce8,
title = "On Rota-Baxter operators of non-zero weight arisen from the solutions of the classical Yang-Baxter equation",
abstract = "Let L be a simple anti-commutative algebra. In this paper we prove that a non skew-symmetric solution of the classical Yang- Baxter equation on L with L-invariant symmetric part induces on L a Rota-Baxter operator of a non-zero weight.",
keywords = "Anti-commutative algebra, Classical Yang-Baxter equation, Lie algebra, Malcev algebra, Non-associative bialgebra, Rota-Baxter operator, non-associative bialgebra, ALGEBRAS, classical Yang-Baxter equation, anti-commutative algebra, BIALGEBRAS",
author = "Maxim Goncharov",
year = "2017",
month = jan,
day = "1",
doi = "10.17377/semi.2017.14.132",
language = "English",
volume = "14",
pages = "1533--1544",
journal = "Siberian Electronic Mathematical Reports",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",
}