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A relation between Turaev coaction, Goncharov--Brown coaction and the reduced coaction Lie algebra

Published 24 Apr 2025 in math.RA | (2504.17416v1)

Abstract: We present a formula that relates the Turaev coaction and the Goncharov-Brown coaction. Motivated by this relation, we introduce the reduced coaction equation. The skew-symmetric solutions to this equation form a Lie algebra under Ihara bracket.

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