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arXiv · 2310.20420

Kashiwara-Vergne solutions degree by degree

Zsuzsanna Dancso·Iva Halacheva·Guillaume Laplante-Anfossi·Marcy Robertson
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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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Zsuzsanna Dancso, Iva Halacheva, Guillaume Laplante-Anfossi, Marcy Robertson. 2023-10-31. Kashiwara-Vergne solutions degree by degree. https://doi.org/10.5802/crmath.750

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