A canonical semi-classical star-product

Details A canonical semi-classical star-product A canonical semi-classical star-product

2005-07-04

arxiv.org/abs/math/0507053v1

Mathematics

Quantum Algebra

AMS LaTeX, 16 pages

Scientific paper

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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