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arxiv: 1407.3159 · v3 · pith:ULOOMIPPnew · submitted 2014-07-11 · 🧮 math-ph · math.MP· math.QA· math.RA

Rota-Baxter operators on Witt and Virasoro algebras

classification 🧮 math-ph math.MPmath.QAmath.RA
keywords algebrasinducedoperatorsrota-baxtervirasorowittalgebraapplications
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The homogeneous Rota-Baxter operators on the Witt and Virasoro algebras are classified. As applications, the induced solutions of the classical Yang-Baxter equation and the induced pre-Lie and PostLie algebra structures are obtained.

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