论文标题
部分可观测时空混沌系统的无模型预测
Deformations and Cohomology Theory of Rota-Baxter Systems
论文作者
论文摘要
受Wang and Zhou [4]的作品的启发，我们开发了Rota-Baxter系统的共同体学理论，并通过将较低程度的共同体学组解释为形式变形和作为Rota-Baxter系统的Abelian扩展来证明它是合理的。将在随后的论文中对与该同胞理论相关的$ L_ \ Infty $ - 代数结构进行进一步研究。
Inspired by the work of Wang and Zhou [4] for Rota-Baxter algebras, we develop a cohomology theory of Rota-Baxter systems and justify it by interpreting the lower degree cohomology groups as formal deformations and as abelian extensions of Rota-Baxter systems. A further study on an $L_\infty$-algebra structure associated to this cohomology theory will be given in a subsequent paper.
