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Algebraic differential formulas for the shuffle, stuffle and duality relations of iterated integrals
Journal of Algebra ( IF 0.9 ) Pub Date : 2020-08-01 , DOI: 10.1016/j.jalgebra.2020.01.032
Minoru Hirose , Nobuo Sato

In this paper we prove certain algebraic identities, which correspond to differentiations of the shuffle relation, the stuffle relation, and the relations which arise from M\"{o}bius transformations of iterated integrals. These formulas provide fundamental and useful tools in the study of iterated integrals on a punctured projective line.

中文翻译:

迭代积分的混洗、填充和对偶关系的代数微分公式

在本文中,我们证明了某些代数恒等式,它们对应于 shuffle 关系、stuffle 关系以及迭代积分的 M\"{o}bius 变换产生的关系的微分。这些公式为研究提供了基本且有用的工具穿孔射影线上的迭代积分。
更新日期:2020-08-01
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