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arXiv · 2609.02307

The decomposition relations alone present the Goncharov Lie coalgebra

Ko Aoki
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Abstract

Recently, Kupers--Rudenko--Sierra introduced the Goncharov Lie coalgebra. They gave a presentation using correlator generators and four types of relations: homogeneity, cyclic symmetry, shuffle relations, and decomposition relations. We show that the first three families of relations follow from the decomposition relations.

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Ko Aoki. 2026-09-02. The decomposition relations alone present the Goncharov Lie coalgebra. https://arxiv.org/abs/2609.02307

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