Relative Rota-Baxter operators of nonzero weights on Lie Triple Systems
| Autor: | Wu, Xueru, Ma, Yao, Chen, Liangyun |
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| Rok vydání: | 2022 |
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| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we introduce the notion of a relative Rota-Baxter operator of weight $\lambda$ on a Lie triple system with respect to an action on another Lie triple system, which can be characterized by the graph of their semidirect product. We also establish a cohomology theory for a relative Rota-Baxter operator of weight $\lambda$ on Lie triple systems and use the first cohomology group to classify infinitesimal deformations. Comment: 14pages. arXiv admin note: substantial text overlap with arXiv:2204.02196 by other authors |
| Databáze: | arXiv |
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