A canonical semi-classical star-product
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- July 2005
- DOI:
- arXiv:
- arXiv:math/0507053
- Bibcode:
- 2005math......7053I
- Keywords:
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- Mathematics - Quantum Algebra;
- Mathematics - Combinatorics;
- 53D55;
- 14Fxx
- E-Print:
- AMS LaTeX, 16 pages