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When Hom-Lie structures form a Jordan algebra
Published 12 Nov 2022 in math.RA | (2211.06631v1)
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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