Rooted trees, Feynman graphs, and Hecke correspondences
Quantum Algebra
2009-09-08 v1 Representation Theory
Abstract
We construct natural representations of the Connes-Kreimer Lie algebras on rooted trees/Feynman graphs arising from Hecke correspondences in the categories constructed by K. Kremnizer and the author. We thus obtain the insertion/elimination representations constructed by Connes-Kreimer as well as an isomorphic pair we term top-insertion/top-elimination. We also construct graded finite-dimensional sub/quotient representations of these arising from "truncated" correspondences.
Keywords
Cite
@article{arxiv.0909.1139,
title = {Rooted trees, Feynman graphs, and Hecke correspondences},
author = {Matthew Szczesny},
journal= {arXiv preprint arXiv:0909.1139},
year = {2009}
}