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Post-Lie conformal algebra structures on Lie conformal algebras
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In this paper, we introduce and study post-Lie conformal algebras (PLCAs), a generalization of post-Lie algebras to conformal algebras. We establish an equivalence between PLCA structures and Rota-Baxter operators of weight 1 oLie conformal algebras. We also show that every PLCA induces a new Lie conformal algebra and study PLCA structures on pairs of Lie conformal algebras. Finally, we classify all PLCA structures on two important classes of Lie conformal algebras: B(q ) and W (b ), achieved through Rota–Baxter operators of weight on them.
Title: Post-Lie conformal algebra structures on Lie conformal algebras
Description:
In this paper, we introduce and study post-Lie conformal algebras (PLCAs), a generalization of post-Lie algebras to conformal algebras.
We establish an equivalence between PLCA structures and Rota-Baxter operators of weight 1 oLie conformal algebras.
We also show that every PLCA induces a new Lie conformal algebra and study PLCA structures on pairs of Lie conformal algebras.
Finally, we classify all PLCA structures on two important classes of Lie conformal algebras: B(q ) and W (b ), achieved through Rota–Baxter operators of weight on them.
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