Rota-Baxter operators of non-scalar weights, connections with coboundary Lie bialgebra structures
| Autor: | Goncharov, Maxim |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In the paper, we introduce the notion of a Rota-Baxter operator of a non-scalar weight. As a motivation, we show that there is a natural connection between Rota-Baxter operators of this type and structures of quasitriangular Lie bialgebras on a quadratic finite-dimensional Lie algebra. Moreover, we show that some classical results on Lie bialgebra structure on simple finite-dimensional Lie algebras can be obtained from the corresponding results for Rota-Baxter operators. Comment: Version 2, some misprints were fixed, some statements were improved |
| Databáze: | arXiv |
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