An example of a simple double Lie algebra
Rings and Algebras
2022-01-25 v3
Abstract
We extend the correspondence between double Lie algebras and skew-symmetric Rota-Baxter operators of weight 0 on the matrix algebra for the infinite-dimensional case. We give the first example of a simple double Lie algebra.
Cite
@article{arxiv.2104.03605,
title = {An example of a simple double Lie algebra},
author = {Vsevolod Gubarev},
journal= {arXiv preprint arXiv:2104.03605},
year = {2022}
}
Comments
12 p.; v2 and v3: some definitions from Sec. 4 are corrected; Proposition 3 added, Sec. 5 is removed