Double Shuffle and Kashiwara-Vergne Lie algebras

Details Double Shuffle and Kashiwara-Vergne Lie algebras Double Shuffle and Kashiwara-Vergne Lie algebras

2012-01-25

arxiv.org/abs/1201.5316v1

Mathematics

Algebraic Geometry

18 pages

Scientific paper

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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