Double Shuffle and Kashiwara-Vergne Lie algebras
Algebraic Geometry
2012-01-26 v1 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.1201.5316,
title = {Double Shuffle and Kashiwara-Vergne Lie algebras},
author = {Leila Schneps},
journal= {arXiv preprint arXiv:1201.5316},
year = {2012}
}
Comments
18 pages