Mencattini, Igor; Kreimer, Dirk Insertion and elimination Lie algebra: the ladder case. (English) Zbl 1081.17013 Lett. Math. Phys. 67, No. 1, 61-74 (2004). Summary: We prove that the insertion-elimination Lie algebra of Feynman graphs in the ladder case has a natural interpretation in terms of a certain algebra of infinite dimensional matrices. We study some aspects of its representation theory and we will discuss some relations with the representation of the Heisenberg algebra. Cited in 1 ReviewCited in 7 Documents MSC: 17B65 Infinite-dimensional Lie (super)algebras 81T18 Feynman diagrams 81T15 Perturbative methods of renormalization applied to problems in quantum field theory Keywords:Dyson-Schwinger equations; Feynman graphs; Heisenberg algebra; insertion-elimination Lie algebras; ladder graphs PDF BibTeX XML Cite \textit{I. Mencattini} and \textit{D. Kreimer}, Lett. Math. Phys. 67, No. 1, 61--74 (2004; Zbl 1081.17013) Full Text: DOI arXiv