On connection between Rota-Baxter operators and solutions of the classical Yang-Baxter equation with an ad-invariant symmetric part on general linear algebra

On connection between Rota-Baxter operators and solutions of the classical Yang-Baxter equation with an ad-invariant symmetric part on general linear algebra Full article

Journal

Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304

Output data

Year: 2024, Volume: 21, Number: 1, Pages: 81-97 Pages count : 17 DOI: 10.33048/semi.2024.21.007

Funding (1)

Sobolev Institute of Mathematics

FWNF-2022-0002

In the paper, we nd the connection between solutions of the classical Yang Baxter equation with an ad-invariant symmetric part and Rota Baxter operators of special type on a real general linear algebra gln(R). Using this connection, we classify solutions of the classical Yang Baxter equation with an ad-invariant symmetric part on gl2(C) using the classifcation of Rota Baxter operators of nonzero weight on gl2(C) and a classifcation of Rota Baxter operators of weight 0 on sl2(C).

Goncharov M.E.
On connection between Rota-Baxter operators and solutions of the classical Yang-Baxter equation with an ad-invariant symmetric part on general linear algebra
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2024. V.21. N1. P.81-97. DOI: 10.33048/semi.2024.21.007 WOS Scopus РИНЦ

Submitted:	Aug 14, 2023
Published print:	Feb 14, 2024
Published online:	Feb 14, 2024

Web of science:	WOS:001164416300007
Scopus:	2-s2.0-85191292622
Elibrary:	82336233

Пока нет цитирований