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• W3005988892 abstract "We introduce the notion of a matching Rota-Baxter algebra motivated by the recent work on multiple pre-Lie algebras arising from the study of algebraic renormalization of regularity structures [10], [19]. This notion is also related to iterated integrals with multiple kernels and solutions of the associative polarized Yang-Baxter equation. Generalizing the natural connection of Rota-Baxter algebras with dendriform algebras to matching Rota-Baxter algebras, we obtain the notion of matching dendriform algebras. As in the classical case of one operation, matching Rota-Baxter algebras and matching dendriform algebras are related to matching pre-Lie algebras which coincide with the aforementioned multiple pre-Lie algebras. More general notions and results on matching tridendriform algebras and matching PostLie algebras are also obtained." @default.
• W3005988892 created "2020-02-24" @default.
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• W3005988892 date "2020-06-01" @default.
• W3005988892 modified "2023-10-16" @default.
• W3005988892 title "Matching Rota-Baxter algebras, matching dendriform algebras and matching pre-Lie algebras" @default.
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• W3005988892 doi "https://doi.org/10.1016/j.jalgebra.2020.02.011" @default.
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