双重洗牌理论的贝蒂一方。II。关联子的双混洗关系
The Betti side of the double shuffle theory. II. Double shuffle relations for associators
摘要:
我们从本系列第一部分中获得的结合子与模调和余积的兼容性中推导出,将结合子的扭体包含到双洗牌关系的扭体中,这完成了本系列的目标之一。我们用第一部分中的模和代数调和余积定义了两个稳定器torsor。我们表明,双洗牌torsor可以描述使用模块稳定torsor,后者torsor是包含在代数稳定torsor。
英文摘要:
We derive from the compatibility of associators with the module harmonic coproduct, obtained in Part I of the series, the inclusion of the torsor of associators into that of double shuffle relations, which completes one of the aims of this series. We define two stabilizer torsors using the module and algebra harmonic coproducts from Part I. We show that the double shuffle torsor can be described using the module stabilizer torsor, and that the latter torsor is contained in the algebra stabilizer torsor.
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