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The correspondence conjecture for Rota–Baxter operators on the Sweedler Hopf algebra
Let $H_4$ be the Sweedler Hopf algebra and let $H^{(-)}_4$ denote its underlying Lie algebra with the commutator bracket. A Rota–Baxter operator on $H^{(-)}_4$ is a linear map sati…
Conjectureopenhopf-algebras lie-algebras rota-baxter-operatorsarXiv posted 2 days ago
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Extension of O-operator theory to algebras over Koszul operads
The paper studies ${\mathcal{O}}$ -operators on Leibniz algebras and Lie algebras. Extension conjecture. This theory should extend to algebras over Koszul operads. Such an extension…
Conjectureopenleibniz-algebras operads rota-baxter-operatorsarXiv posted 2 days ago

The correspondence conjecture for Rota–Baxter operators on the Sweedler Hopf algebra