An injective Lie algebra morphism exists from the double shuffle Lie algebra ds into the Kashiwara-Vergne Lie algebra krv, compatible with the known injections from grt.
Baumard, Thesis, 2014
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The double shuffle Lie algebra injects into the Kashiwara-Vergne Lie algebra
An injective Lie algebra morphism exists from the double shuffle Lie algebra ds into the Kashiwara-Vergne Lie algebra krv, compatible with the known injections from grt.