Extending structures of Rota-Baxter Lie algebras
Rings and Algebras
2023-06-29 v1 Representation Theory
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.
Keywords
Cite
@article{arxiv.2306.15874,
title = {Extending structures of Rota-Baxter Lie algebras},
author = {Xiao-song Peng and Yi Zhang},
journal= {arXiv preprint arXiv:2306.15874},
year = {2023}
}
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19 pages