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arXiv · 2509.21252

Ecalle's senary relation and dimorphic structures

Hanamichi Kawamura
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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.

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Hanamichi Kawamura. 2025-09-25. Ecalle's senary relation and dimorphic structures. https://arxiv.org/abs/2509.21252

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