When Hom-Lie structures form a Jordan algebra
Rings and Algebras
2022-11-15 v1
Abstract
We are concerned with the question when Hom-Lie structures on a Lie algebra are closed with respect to the Jordan product. Somewhat unexpectedly, this leads us to certain questions connected with the Yang-Baxter equation, and with decomposition of a Lie algebra into the sum of subalgebras with given properties.
Cite
@article{arxiv.2211.06631,
title = {When Hom-Lie structures form a Jordan algebra},
author = {Pasha Zusmanovich},
journal= {arXiv preprint arXiv:2211.06631},
year = {2022}
}
Comments
8 pages; for the latest version of this text, see https://web.osu.cz/~Zusmanovich/papers/