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arXiv · 1201.5316

Double Shuffle and Kashiwara-Vergne Lie algebras

Leila Schneps
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Abstract

We prove that the double shuffle Lie algebra ds, dual to the space of new formal multiple zeta values, injects into the Kashiwara-Vergne Lie algebra krv defined and studied by Alekseev-Torossian. The proof is based on a reformulation of the definition of krv, and uses a theorem of Ecalle on a property of elements of ds.

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Leila Schneps. 2012-01-25. Double Shuffle and Kashiwara-Vergne Lie algebras. https://arxiv.org/abs/1201.5316

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