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The Structure of the Ladder Insertion-Elimination Lie algebra

Igor Mencattini, Dirk Kreimer

math-pharXiv:math-ph/0408053

Abstract

We continue our investigation into the insertion-elimination Lie algebra of Feynman graphs in the ladder case, emphasizing the structure of this Lie algebra relevant for future applications in the study of Dyson-Schwinger equations. We work out the relation of this Lie algebra to some classical infinite dimensional Lie algebra and we determine its cohomology.

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