2012/05/24 by Carlo A. Rossi, Rossi, Carlo A.
Mathematics · #17B35 #81R60 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.1205.5512
openalex publication_date 2012/05/24 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
The purpose of this short note is to establish an explicit equivalence between the two star products ⋆ and ⋆log on the symmetric algebra \mathrm S(\mathfrak g) of a finite-dimensional Lie algebra \mathfrak g over a field \mathbb K⊃\mathbb C of characteristic 0 associated with the standard angular propagator and the logarithmic one: the differential operator of infinite order with constant coefficients realizing the equivalence is related to the incarnation of the Grothendieck-Teichmüller group considered by Kontsevich.