M. E. Goncharov

Часть публикаций из профиля, по году от новых к старым. Это не полный список последних работ автора; работы без года — в конце.

• Formal integration of complete Rota-Baxter Lie algebras and Magnus expansion2026
• Rota-Baxter operators of non-scalar weights, connections with coboundary Lie bialgebra structures2025 · аннотациясвернуть

  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 coboundary…

• On connection between Rota–Baxter operators and solutions of the classical Yang–Baxter equation with an ad-invariant symmetric part on general linear algebra2024
• Double Lie algebras of a nonzero weight2022 · аннотациясвернуть

  We introduce the notion of λ-double Lie algebra, which coincides with usual double Lie algebra when λ= 0. We state that every λ-double Lie algebra for λ≠0 provides the structure of…

• Rota–Baxter Operators of Nonzero Weight on a Complete Linear Lie Algebra of Order Two2022
• Rota-Baxter operators on cocommutative Hopf algebras2021
• Double Lie algebras of a nonzero weight2021 · аннотациясвернуть

  We introduce the notion of λ-double Lie algebra, which coincides with usual double Lie algebra when λ= 0. We state that every λ-double Lie algebra for λ≠0 provides the structure of…

• Rota–Baxter operators of nonzero weight on the matrix algebra of order three2020