Ecalle's senary relation and dimorphic structures
Quantum Algebra
2025-09-26 v1 Number Theory
Abstract
This paper gives a completed proof of Ecalle's senary relation in the original form. As an application, we obtain another proof of the fact that the double shuffle Lie algebra injects into the Kashiwara--Vergne Lie algebra. We also give two explicit isomorphisms between some dimorphic Lie algebras and their linearized version.
Keywords
Cite
@article{arxiv.2509.21252,
title = {Ecalle's senary relation and dimorphic structures},
author = {Hanamichi Kawamura},
journal= {arXiv preprint arXiv:2509.21252},
year = {2025}
}