论文标题

交叉形态,(整合)lie后代数和lie后的马格努斯膨胀

Crossed morphisms, (integration of) post-Lie algebras and the post-Lie Magnus expansion

论文作者

Mencattini, Igor, Quesney, Alexandre

论文摘要

在这封信的第一部分中,将表明,莱·马格努斯(Lie Magnus)的扩张可以解释为两个(本地)谎言组之间的交叉形态。第二部分将致力于提出两种基于平面树上的特殊管道的组合方法,以计算此非凡的正式系列的系数。

In the first part of this letter it will be shown that the post-Lie Magnus expansion can be interpreted as a crossed morphism between two (local) Lie group. The second part will be devoted to present two combinatorial methods, both based on special tubings on planar trees, to compute the coefficients of this remarkable formal series.

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