Geodesic
The description of Rota-Baxter operators of nonzero weight on complex general linear Lie algebra of order~$2$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 2, pp. 870-879

Voir la notice de l'article provenant de la source Math-Net.Ru

In the paper, a classification of Rota-Baxter operators of weight $1$ on general linear complex Lie algebra of order $2$ is given. The description was made up to the action of $Aut(gl_2(\mathbb C))$.
Keywords: Lie algebra, Rota—Baxter operator, general linear Lie algebra. 
@article{SEMR_2022_19_2_a10,
     author = {M. Goncharov},
     title = {The description of {Rota-Baxter} operators of nonzero weight on complex general linear {Lie} algebra of order~$2$},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {870--879},
     publisher = {mathdoc},
     volume = {19},
     number = {2},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2022_19_2_a10/}
}
TY  - JOUR
AU  - M. Goncharov
TI  - The description of Rota-Baxter operators of nonzero weight on complex general linear Lie algebra of order~$2$
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2022
SP  - 870
EP  - 879
VL  - 19
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SEMR_2022_19_2_a10/
LA  - en
ID  - SEMR_2022_19_2_a10
ER  - 
%0 Journal Article
%A M. Goncharov
%T The description of Rota-Baxter operators of nonzero weight on complex general linear Lie algebra of order~$2$
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2022
%P 870-879
%V 19
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SEMR_2022_19_2_a10/
%G en
%F SEMR_2022_19_2_a10
M. Goncharov. The description of Rota-Baxter operators of nonzero weight on complex general linear Lie algebra of order~$2$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 2, pp. 870-879. http://geodesic.mathdoc.fr/item/SEMR_2022_19_2_a10/