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arXiv · 1205.4942

The logarithmic star product in the linear case and the Grothendieck--Teichmüller group

Carlo A. Rossi
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Abstract

The purpose of this short note is to establish an explicit equivalence between two star products $\star$ and $\star_{\log}$ on the symmetric algebra $\mathrm S(\mathfrak g)$ of a finite-dimensional Lie algebra $\mathfrak g$ over a field $\mathbb K\supset\mathbb C$ of characteristic 0: the differential operator of infinite order with constant coefficients realizing the equivalence is related to the Grothendieck-Teichmüller group.

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Carlo A. Rossi. 2012-06-09. The logarithmic star product in the linear case and the Grothendieck--Teichmüller group. https://arxiv.org/abs/1205.4942

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