English

Solution non universelle pour le probl\`eme KV-78

Group Theory 2008-02-29 v2 Quantum Algebra

Abstract

In 78' M. Kashiwara and Vergne conjectured some property on the Campbell-Hausdorff series in such way a trace formula is satisfied. They proposed an explicit solution in the case of solvable Lie algebras. In this note we prove that this "solvable solution" is not universal. Our method is based on computer calculation. Furthermore our programs prove up to degree 16, Drinfeld's Lie algebra grt1\mathfrak{grt}_1 coincides with the Lie algebra kv2^\hat{kv_2} defined in \cite{AT}.

Cite

@article{arxiv.0802.2049,
  title  = {Solution non universelle pour le probl\`eme KV-78},
  author = {Luc Albert and Pascale Harinck and Charles Torossian},
  journal= {arXiv preprint arXiv:0802.2049},
  year   = {2008}
}

Comments

Ajout dans section 3.2. Corrections typographiques dans \'equation (10) et bibliographie actualis\'ee

R2 v1 2026-06-21T10:12:39.426Z