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arXiv · 2211.06631

When Hom-Lie structures form a Jordan algebra

Pasha Zusmanovich
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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.

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Pasha Zusmanovich. 2022-11-12. When Hom-Lie structures form a Jordan algebra. https://doi.org/10.1142/s0219498823501979

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