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math.QA2022
Notes on Kashiwara-Vergne and double shuffle Lie algebras
Hidekazu Furusho, Nao Komiyama
We explain the current situation of the relationship between the Kashiwara-Vergne Lie algebra and the double shuffle Lie algebra . We also show the…
math.QA2021
On properties of adari(pal) and ganit(pic)
Nao Komiyama
The paper discusses properties of adari(pal) and ganit(pic) which are Ecalle's maps among certain sets of moulds related to the double shuffle relations of MZVs. We give self-conta…
math.QA2020
Kashiwara-Vergne and dihedral bigraded Lie algebras in mould theory
Hidekazu Furusho, Nao Komiyama
We introduce the Kashiwara-Vergne bigraded Lie algebra associated with a finite abelian group and give its mould theoretic reformulation. By using the mould theory, we show that it…