The Structure of the Ladder Insertion-Elimination Lie algebra

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.

24 pages, LaTex, typos corrected

References in corpus (1)

• What is the trouble with Dyson--Schwinger equations?

Cited by in corpus (5)

• Hopf algebra approach to Feynman diagram calculations
• The Lie group structure of the Butcher group
• A Perspective on Regularization and Curvature
• On the structure and representations of the insertion-elimination Lie algebra
• Automorphisms and derivations of the insertion-elimination algebra and related graded Lie algebras