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We also investigate Rota--Baxter operators of weight $1$ on $\mathcal{W}(a,-1)$. Specifically, we classify operators that are homogeneous with respect to both the standard $\mathbf{Z}$-grading and a $\mathbf{Z}_2$-grading, establishing a rigidity result for the latter case. Finally, we classify all $\mathbf{W}$-compatible Novikov--Poisson structures, demonstrating that the associative product on the Witt algebra is universally compatible with its known Novikov structures.
From: Ilya Shiringovskiy [view email]
[v1]
Tue, 12 May 2026 17:57:46 UTC (28 KB)
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