𝔖 Bobbio Scriptorium
✦   LIBER   ✦

QED Hopf algebras on planar binary trees

✍ Scribed by Christian Brouder; Alessandra Frabetti


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
190 KB
Volume
267
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis


In this paper we describe the Hopf algebras on planar binary trees used to renormalize the Feynman propagators of quantum electrodynamics, and the coaction which describes the renormalization procedure. Both structures are related to some semi-direct coproduct of Hopf algebras.


πŸ“œ SIMILAR VOLUMES


Hopf Algebra of the Planar Binary Trees
✍ Jean-Louis Loday; MarΔ±́a O. Ronco πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 416 KB

Let k be a field and let S n be the symmetric group. The group algebra k[S n ] contains the Solomon descent algebra, which is of dimension 2 n&1 . In [MR] Malvenuto and Reutenauer construct a graded Hopf algebra structure on so that the sum of the Solomon descent algebras There is a basis In betw