Kashiwara-Vergne and dihedral bigraded Lie algebras in mould theory

Published 4 Mar 2020 in math.QA, math.NT, and math.RA | (2003.01844v4)

Abstract: We introduce the Kashiwara-Vergne bigraded Lie algebra associated with a finite abelian group and give its mould theoretic reformulation. By using the mould theory, we show that it includes Goncharov's dihedral Lie algebra, which generalizes the result of Raphael and Schneps.

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