Communications in Number Theory and Physics
Volume 4 (2010)
Hecke correspondences and Feynman graphs
Pages: 161 – 185
We consider natural representations of the Connes–KreimerLie algebras on rooted trees/Feynman graphs arising fromHeckecorrespondences in the categories $\LRF, \LFG$constructed by K. Kremnizer and the author. We thus obtainthe insertion/elimination representations constructed byConnes–Kreimer as well as an isomorphic pair that we termtop-insertion/top-elimination. We also construct gradedfinite-dimensional sub/quotient representations of thesearising from “truncated” correspondences.