A canonical semi-classical star-product
Quantum Algebra
2007-05-23 v1 Combinatorics
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.
Keywords
Cite
@article{arxiv.math/0507053,
title = {A canonical semi-classical star-product},
author = {Lucian M. Ionescu and Papa A. Sissokho},
journal= {arXiv preprint arXiv:math/0507053},
year = {2007}
}
Comments
AMS LaTeX, 16 pages