Mathematics – Quantum Algebra
Scientific paper
2004-04-21
Mathematics
Quantum Algebra
23 pages, AMS LaTeX, 8 eps figures
Scientific paper
Graph cocycles for star-products are investigated from the combinatorial point of view, using Connes-Kreimer renormalization techniques. The Hochschild complex, controlling the deformation theory of associative algebras, is the ``Kontsevich representation'' of a DGLA of graphs coming from a pre-Lie algebra structure defined by graph insertions. Properties of the dual of its UEA (an odd parity analog of Connes-Kreimer Hopf algebra), are investigated in order to find solutions of the deformation equation. The solution of the initial value deformation problem, at tree-level, is unique. For linear coefficients the resulting formulas are relevant to the Hausdorff series.
No associations
LandOfFree
A combinatorial approach to coefficients in deformation quantization does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A combinatorial approach to coefficients in deformation quantization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A combinatorial approach to coefficients in deformation quantization will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-18670