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The Structure of the Ladder Insertion-Elimination Lie Algebra

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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 to the classical infinite dimensional Lie algebra and we determine the cohomology of .

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Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, Boston University, 111 Cummington Street, Boston, MA, 02215, USA

    Igor Mencattini

  2. CNRS at IHES, 35, route de Chartres, 91440, Bures-sur-Yvette, France

    Dirk Kreimer

Authors
  1. Igor Mencattini
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  2. Dirk Kreimer
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Corresponding author

Correspondence to Igor Mencattini.

Additional information

Communicated by Y. Kawahigashi

D.K. supported by CNRS; both authors supported in parts by NSF grant DMS-0401262, Ctr. Math. Phys. at Boston Univ.; BUCMP/04-06.

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Mencattini, I., Kreimer, D. The Structure of the Ladder Insertion-Elimination Lie Algebra. Commun. Math. Phys. 259, 413–432 (2005). https://doi.org/10.1007/s00220-005-1340-7

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  • DOI: https://doi.org/10.1007/s00220-005-1340-7

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