REFERENCES
- Abe , E. ( 1980 ). Hopf Algebras . Cambridge : Cambridge University Press .
- Agrachev , A. A. , Gamkrelidze , R. V. ( 1981 ). Chronological algebras and nonstationary vector fields . J. Sov. Math 17 : 1650 – 1675 .
- Chapoton , F. Rooted Trees and an Exponential-Like Series. arxiv:math /0209104v1 .
- Chapoton , F. , Livernet , M. ( 2001 ). Pre-Lie algebras and the rooted trees operad . Int. Math. Res. Not. 8 : 395 – 408 .
- Connes , A. , Kreimer , D. (1998). Hopf algebras, renormalization and noncommutative geometry. Comm. in Math. Phys. 199:203–242.
- Calaque , D. , Ebrahimi-Fard , K. , Manchon , D. ( 2011 ). Two interacting Hopf algebras of trees: a Hopf-algebraic approach to composition and substitution of B-series . Advances in Appl. Math 47 ( 2 ): 282 – 308 .
- Dixmier , J. ( 1974 ). Algèbres Enveloppantes . Paris : Gauthier-Villars .
- Foissy , L. ( 2002 ). Les algèbres de Hopf des arbres enracinés décorés I + II . thèse, Univ. de Reims (2002), et Bull. Sci. Math. 126 : 193 – 239 , et 249–288 .
- Ginzburg , V. , Kapranov , M. ( 1994 ). Kozul duality for operads . Duke Math. J. 76 : 203 – 272 .
- Hoffman , M. ( 2003 ). Combinatorics of rooted trees and hopf algebras trans . AMS 355 : 3795 – 3811 .
- Loday , J.-L. , Ronco , M. ( 2010 ). Combinatorial Hopf algebras . Clay. Math. Proceedings 11 : 347 – 383 .
- Sweedler , M. E. ( 1969 ). Hopf Algebras . New-York : Benjamin .
- Communicated by J. Alev.