9 papers
A stabilizer interpretation of the Grothendieck-Teichmüller group
Benjamin Enriquez, Hidekazu Furusho
If and are Lie algebras, then the product of their outer automorphism groups naturally acts…
Associators in mould theory
Hidekazu Furusho, Minoru Hirose, Nao Komiyama
By developing various techniques of mould theory and establishing a quasi-involutive reformulation of Drinfeld's associator set, we introduce $\mathsf{GARI}(\mathscr{F})_{\mathsf{a…
On linearised and elliptic versions of the Kashiwara-Vergne Lie algebra
Hidekazu Furusho, Nao Komiyama, Elise Raphael +1
The goal of this article is to define a linearized or depth-graded version , and a closely related elliptic version , of the Kashiwara-Vergne…
Double shuffle Lie algebra and special derivations
Benjamin Enriquez, Hidekazu Furusho
Racinet's double shuffle Lie algebra is a Lie subalgebra of the Lie algebra of tangential derivations of the free Lie algebra with generators $…
Notes on Ecalle's and Brown's solutions to the double shuffle relations modulo products
Hidekazu Furusho, Minoru Hirose, Nao Komiyama
We investigate relationships between polar/polynomial solutions to the double shuffle relations modulo products, which were independently introduced by Brown and Ecalle.
-adic multiple zeta values and binomial multiple harmonic sums
Hidekazu Furusho, David Jarossay
We present a concise method for deriving an explicit formula for -adic multiple zeta values. The formula features a variant of multiple harmonic sums, termed binomial multiple h…