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Uniqueness in the Kashiwara-Vergne conjecture

Research paper by Anton Alekseev, Emanuela Petracci

Indexed on: 03 Aug '05Published on: 03 Aug '05Published in: Mathematics - Quantum Algebra



Abstract

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.