Pre-Lie algebras and Hopf algebras related to renormalization;Algèbres pré-Lie et algèbres de Hopf liées à la renormalisation

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 332, Issue 8, 2001, Pages 681-684

  Chapoton, Frédéric ^a  

^a Inst M   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037907069     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(01)01919-X     Document Type: Article

References (8)

1. Broadhurst D.J., Kreimer D. Towards cohomology of renormalization: bigrading the combinatorial Hopf algebra of rooted trees. Commun. Math. Phys. 215:2000;hep-th/0001202.
2. Brouder C. Runge-Kutta methods and renormalization. European Phys. J. 12:2000;521-534 hep-th/9904014.
3. Chapoton F., Livernet M., Pre-Lie algebras and the rooted trees operad, IMRN, 2001, math.QA/0002069.
4. Connes A., Kreimer D. Hopf algebras, renormalization and noncommutative geometry. Commun. Math. Phys. 199:(1):1998;203-242 hep-th/9808042.
5. Connes A., Kreimer D. Renormalization in quantum field theory and the Riemann-Hilbert problem I: The Hopf algebra structure of graphs and the main theorem. Commun. Math. Phys. 210:(1):2000;249-273 hep-th/9912092.
6. Connes A., Moscovici H. Hopf algebras, cyclic cohomology and the transverse index theorem. Commun. Math. Phys. 198:(1):1998;199-246.
7. Fuks D.B. Cohomology of Infinite-Dimensional Lie Algebras. 1986;Consultants Bureau, New York. [Translated from the Russian by A.B. Sosinskii.].
8. Matsushima Y. Affine structures on complex manifolds. Osaka J. Math. 5:1968;215-222.