A nondiagrammatic description of the Connes-Kreimer Hopf algebra

Details A nondiagrammatic description of the Connes-Kreimer Hopf algebra A nondiagrammatic description of the Connes-Kreimer Hopf algebra

2012-03-13

arxiv.org/abs/1203.2686v1

Mathematics

Quantum Algebra

25 pages, 6 figures

Scientific paper

We demonstrate that the fundamental algebraic structure underlying the Connes-Kreimer Hopf algebra -- the insertion pre-Lie structure on graphs -- corresponds directly to the canonical pre-Lie structure of polynomial vector fields. Using this fact, we construct a Hopf algebra built from tensors that is isomorphic to a version of the Connes-Kreimer Hopf algebra that first appeared in the perturbative renormalization of quantum field theories.

Affiliated with

Also associated with

No associations

Rating

A nondiagrammatic description of the Connes-Kreimer Hopf algebra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A nondiagrammatic description of the Connes-Kreimer Hopf algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A nondiagrammatic description of the Connes-Kreimer Hopf algebra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-143353