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A canonical semi-classical star-product

Lucian M. Ionescu·Papa A. Sissokho
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Abstract

We study the Maurer-Cartan equation of the pre-Lie algebra of graphs controling the deformation theory of associative algebras and prove that there is a canonical solution within the class of graphs without circuits, without assuming the Jacobi identity. The proof is based on the unique factorization property of graph insertions.

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Lucian M. Ionescu, Papa A. Sissokho. 2005-07-04. A canonical semi-classical star-product. https://arxiv.org/abs/math/0507053

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