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Title: Generalizing the Connes Moscovici Hopf algebra to contain all rooted trees

This paper defines a generalization of the Connes-Moscovici Hopf algebra, H(1), that contains the entire Hopf algebra of rooted trees. A relationship between the former, a much studied object in non-commutative geometry, and the latter, a much studied object in perturbative quantum field theory, has been established by Connes and Kreimer. The results of this paper open the door to study the cohomology of the Hopf algebra of rooted trees.
Authors:
 [1] ;  [2]
  1. Mathematical Institute, Radcliff Observatory Quarter, Oxford University, Woodstock Road, Oxford (United Kingdom)
  2. University of California Santa Barbara, South Hall, Room 6607, Santa Barbara, California 93106 (United States)
Publication Date:
OSTI Identifier:
22403132
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 56; Journal Issue: 4; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; GEOMETRY; HYDROGEN 1; QUANTUM FIELD THEORY