Uniqueness in the Kashiwara-Vergne conjecture

Mathematics – Quantum Algebra

Scientific paper

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9 pages

Scientific paper

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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