The Structure of the Ladder Insertion-Elimination Lie algebra

Details The Structure of the Ladder Insertion-Elimination Lie algebra The Structure of the Ladder Insertion-Elimination Lie algebra

2004-08-27

arxiv.org/abs/math-ph/0408053v2

Commun.Math.Phys.259:413-432,2005

Physics

Mathematical Physics

24 pages, LaTex, typos corrected

Scientific paper

10.1007/s00220-005-1340-7

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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