A generalization of Connes-Kreimer Hopf algebra
نویسندگان
چکیده
منابع مشابه
Ecalle’s arborification–coarborification transforms and Connes–Kreimer Hopf algebra
We give a natural and complete description of Ecalle’s mould–comould formalism within a Hopf–algebraic framework. The arborification transform thus appears as a factorization of characters, involving the shuffle or quasishuffle Hopf algebras, thanks to a universal property satisfied by Connes–Kreimer Hopf algebra. We give a straightforward characterization of the fundamental process of homogene...
متن کاملOn the Connes-Kreimer construction of Hopf Algebras
We give a universal construction of families of Hopf P-algebras for any Hopf operad P. As a special case, we recover the Connes-Kreimer Hopf algebra of rooted trees.
متن کاملThe Hopf Algebra Structure of Connes and Kreimer in Epstein-Glaser Renormalization
We show how the Hopf algebra structure of renormalization discovered by Kreimer can be found in the Epstein-Glaser framework without using an analogue of the forest formula of Zimmermann.
متن کاملOn a noncommutative deformation of the Connes-Kreimer algebra
We study a noncommutative deformation of the commutative Hopf algebra HR of rooted trees which was shown by Connes and Kreimer to describe the mathematical structure of renormalization in quantum field theories. The requirement of the existence of an antipode for the noncommutative deformation leads to a natural extension of the algebra. Noncommutative deformations of HR might be relevant for r...
متن کاملBicrossproduct approach to the Connes-Moscovici Hopf algebra
We give a rigorous proof that the (codimension one) Connes-Moscovici Hopf algebra HCM is isomorphic to a bicrossproduct Hopf algebra linked to a group factorisation of the diffeomorphism group Diff(R). We construct a second bicrossproduct UCM equipped with a nondegenerate dual pairing with HCM. We give a natural quotient Hopf algebra kλ[Heis] of HCM and Hopf subalgebra Uλ(heis) of UCM which aga...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2005
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.1951591