模的反循环运算
The anticyclic operad of moulds
摘要：
在多元函数空间上引入了一种新的反循环运算模。证明了树状运算是该运算的反循环子运算。介绍并研究了单生成元上的自由模代数的多种运算。在一定的限制条件下，定义了模到形式向量场的遗忘映射。本文还介绍了与A型颤动器倾斜模理论的联系。
英文摘要：
A new anticyclic operad Mould is introduced, on spaces of functions in several variables. It is proved that the Dendriform operad is an anticyclic suboperad of this operad. Many operations on the free Mould algebra on one generator are introduced and studied. Under some restrictions, a forgetful map from moulds to formal vector fields is then defined. A connection to the theory of tilting modules for quivers of type A is also described.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
