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Rota-Baxter operators on Witt and Virasoro algebras

arXiv:1407.3159 · doi:10.1016/j.geomphys.2016.06.007

Abstract

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.

28 pages