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arxiv: math/0508077 · v1 · submitted 2005-08-03 · 🧮 math.QA · math.RT

Uniqueness in the Kashiwara-Vergne conjecture

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keywords conjecturekashiwara-vergneuniversalalgebrasappendixauthorexistingliterature
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We prove that a universal symmetric solution of the Kashiwara-Vergne conjecture is unique up to order one. in the Appendix by the second author, this result is used to show that solutions of the Kashiwara-Vergne conjecture for quadratic Lie algebras existing in the literature are not universal.

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