A combinatorial approach to coefficients in deformation quantization

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dc.creatorIonescu, Lucian M.
dc.date2004-04-21
dc.date.accessioned2026-07-07T05:07:37Z
dc.date.available2026-07-07T05:07:37Z
dc.descriptionGraph 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.
dc.description23 pages, AMS LaTeX, 8 eps figures
dc.identifierhttps://arxiv.org/abs/math/0404389
dc.identifierhttp://arxiv.org/abs/math/0404389
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70928
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subject53D55; 81T18
dc.titleA combinatorial approach to coefficients in deformation quantization
dc.typetext

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