科研项目: |
1.同伦代数、Yang-Baxter方程及其应用(国家自然科学基金面上项目),2024-2027,负责人. 2.Rota-Baxter型算子的形变理论、上同调理论及其应用(国家青年科学基金),2021-2023,负责人. 3.代数上Rota-Baxter型算子的形变理论及其应用(中国博士后基金面上资助),2020-2021,负责人. |
代表性学术论文: |
1. C. Bai, L. Guo, Y. Sheng, R. Tang, Post-groups, (Lie-)Butcher groups and the Yang-Baxter equation. Math. Ann. 388 (2024), 3127-3167. 2. A. Lazarev, Y. Sheng, R. Tang, Homotopy relative Rota-Baxter lie algebras, triangular L∞-bialgebras and higher derived brackets. Trans. Amer. Math. Soc. 376 (2023), 2921-2945.
3. Y. Sheng, R. Tang, C. Zhu, The controlling L∞-algebra, cohomology and homotopy of embedding tensors and Lie-Leibniz triples. Comm. Math. Phys. 386 (2021), 269-304. 4. A. Lazarev, Y. Sheng, R. Tang, Deformations and homotopy theory of relative Rota-Baxter Lie algebras. Comm. Math. Phys. 383 (2021), 595-631. 5. R. Tang, C. Bai, L. Guo, Y. Sheng, Deformations and their controlling cohomologies of O-operators. Comm. Math. Phys. 368 (2019), 665-700.
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