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Double Shuffle and Kashiwara-Vergne Lie algebras (1201.5316v1)
Published 25 Jan 2012 in math.AG and math.QA
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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