SEMINAIRE Mulhousien de MATHEMATIQUES
résumé/abstract
Dorothea Bahns (DESY, Hambourg)
The shuffle Hopf algebra and quasiplanar Wick products
The operator valued
distributions which arise in quantum field theory on the noncommutative
Minkowski space can be symbolized by a generalization
of chord diagrams, the dotted chord diagrams. I will show that the combinatorial
aspects of quasiplanar Wick products can be
understood in terms of the shuffle Hopf algebra of
dotted chord diagrams, leading to an algebraic characterization of quasiplanar Wick products as a convolution. I will also
speak about the impossibility to construct a weight system for universal knot invariants
from these distributions.
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Dernières modifications / Last modifications : 18 Avril 2008