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Kashiwara-Vergne solutions degree by degree (2310.20420v2)
Published 31 Oct 2023 in math.QA and math.AT
Abstract: We show that solutions to the Kashiwara-Vergne problem can be extended degree by degree. This can be used to simplify the computation of a class of Drinfel'd associators, which under the Alekseev-Torossian conjecture, may comprise all associators. We also give a proof that the associated graded Lie algebra of the Kashiwara-Vergne group is isomorphic to the graded Kashiwara-Vergne Lie algebra.
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