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arXiv · 2306.15874

Extending structures of Rota-Baxter Lie algebras

Xiao-song Peng·Yi Zhang
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Abstract

In this paper, we first introduce the notion of an extending datum of a Rota-Baxter Lie algebra through a vector space. We then construct a unified product for the Rota-Baxter Lie algebra with a vector space as a main ingredient in our approach. Finally, we solve the extending structures problem of Rota-Baxter Lie algebras, which generalizes and unifies two problems in the study of Rota-Baxter Lie algebras: the extension problem studied by Mishra-Das-Hazra and the factorization problem investigated by Lang-Sheng.

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Xiao-song Peng, Yi Zhang. 2023-06-28. Extending structures of Rota-Baxter Lie algebras. https://arxiv.org/abs/2306.15874

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