循环词向量空间的李双代数结构
The Lie bialgebra structure of the vector space of cyclic words
摘要：
本文给出了约化循环词向量空间中李双代数结构的一个组合证明。这种结构是由M. Chas在Combinatorial Lie Bialgebras of Curves on Surfaces中的应用，其中证明这种Lie Bialgebras结构的存在是基于约化循环词空间与曲面上曲线空间之间同构的存在。
英文摘要：
In this paper we give a combinatory proof of the Lie bialgebra structure presented in the vector space of reduced cyclic words. This structure was introduce by M. Chas in Combinatorial lie bialgebras of curves on surfaces, where the proof of the existence of this Lie bialgebra structure is based on the existence of an isomorphism between the space of reduced cyclic word and the space of curves on a surface.
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。
