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Notes on Kashiwara-Vergne and double shuffle Lie algebras

Published 17 Nov 2022 in math.QA, math.NT, and math.RA | (2211.09444v4)

Abstract: We explain the current situation of the relationship between the Kashiwara-Vergne Lie algebra $\mathfrak{krv}$ and the double shuffle Lie algebra $\mathfrak{dmr}$. We also show the validity of Ecalle's senary relation for small depths.

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