Solution non universelle pour le problème KV-78

2008/02/14 by Luc Albert, Albert, Luc, Pascale Harinck +3
Mathematics · #17B #22E #53D55 #68 #FOS: Mathematics #Group Theory (math.GR) #Quantum Algebra (math.QA) #math.GR #math.QA #msc:17B #msc:22E #msc:53D55 #msc:68

paper · pdf · doi:10.48550/arxiv.0802.2049

Ajout dans section 3.2. Corrections typographiques dans équation (10) et bibliographie actualisée

arxiv created 2008/02/29 · arxiv updated 2009/12/01

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 \mathfrakgrt₁ coincides with the Lie algebra kv₂ defined in \citeAT.

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