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Uniqueness in the Kashiwara-Vergne conjecture

Quantum Algebra 2007-05-23 v1 Representation Theory

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.

Keywords

Cite

@article{arxiv.math/0508077,
  title  = {Uniqueness in the Kashiwara-Vergne conjecture},
  author = {Anton Alekseev and Emanuela Petracci},
  journal= {arXiv preprint arXiv:math/0508077},
  year   = {2007}
}

Comments

9 pages

R2 v1 2026-07-22T17:22:47.991Z