Paper
Reduced coaction Lie algebra, double shuffle Lie algebra and noncommutative krv2 equation
Authors
Megan Howarth, Muze Ren
Abstract
We study the reduced coaction Lie algebra , which is defined by an algebraic equation satisfied by the reduced coaction (an upgraded version of the necklace cobracket) and the skew-symmetric condition. We prove that the double shuffle Lie algebra together with the skew-symmetric condition injects to , and that together with the krv1 equation injects to the Kashiwara-Vergne Lie algebra .