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Ecalle's senary relation and dimorphic structures

Published 25 Sep 2025 in math.QA and math.NT | (2509.21252v1)

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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