论文标题
多个小聚集体的谎言结构
The Lie coalgebra of multiple polylogarithms
论文作者
论文摘要
我们使用Goncharov的多个小聚集载体的合并来定义一个任意领域的Lie Colgebra。它是由受归纳定义关系的符号生成的，我们认为这是多种多层次的功能关系。特别是，我们有反转关系和洗牌关系。我们将定义与Goncharov的Bloch组，以及小于Goncharov和Rudenko的重量小于5的混凝土模型联系起来。
We use Goncharov's coproduct of multiple polylogarithms to define a Lie coalgebra over an arbitrary field. It is generated by symbols subject to inductively defined relations, which we think of as functional relations for multiple polylogarithms. In particular, we have inversion relations and shuffle relations. We relate our definition to Goncharov's Bloch groups, and to the concrete model in weight less than 5 by Goncharov and Rudenko.
