D. Blessenohl and M. Schocker, Noncommutative character theory of the symmetric group, World Scientific, 2005.
DOI : 10.1142/p369

N. Bourbaki, Lie groups and Lie algebras. Chapters 1?3, Elements of Mathematics, 1989.

J. C. Collins, Structure of counterterms in dimensional regularization, Nuclear Physics B, vol.80, issue.2, pp.341-348, 1974.
DOI : 10.1016/0550-3213(74)90521-5

A. Connes and D. Kreimer, Hopf Algebras, Renormalization and Noncommutative Geometry, Communications in Mathematical Physics, vol.199, issue.1, pp.203-242, 1998.
DOI : 10.1007/s002200050499
URL : http://arxiv.org/abs/hep-th/9808042

A. Connes and D. Kreimer, Renormalization in Quantum Field Theory and the Riemann-Hilbert Problem I: The Hopf Algebra Structure of Graphs and the Main Theorem, Communications in Mathematical Physics, vol.210, issue.1, pp.210-249, 2000.
DOI : 10.1007/s002200050779

A. Connes and D. Kreimer, Renormalization in Quantum Field Theory and the Riemann--Hilbert Problem II: The ??-Function, Diffeomorphisms and the Renormalization Group, Communications in Mathematical Physics, vol.216, issue.1, pp.215-241, 2001.
DOI : 10.1007/PL00005547

A. Connes and M. Marcolli, Renormalization and motivic Galois theory, Internat. Math. Res. Notices, vol.2004, pp.76-4073, 2004.
DOI : 10.1007/978-3-540-30308-4_13

A. Connes and M. Marcolli, From Physics to Number Theory via Noncommutative Geometry II: Renormalization, the Riemann?Hilbert correspondence, and motivic Galois theory, to appear in Frontiers in Number Theory, Physics and Geometry

A. Connes and M. Marcolli, Quantum fields and motives, Journal of Geometry and Physics, vol.56, issue.1, pp.55-85, 2006.
DOI : 10.1016/j.geomphys.2005.04.004
URL : http://arxiv.org/abs/hep-th/0504085

K. Ebrahimi-fard, RotaBaxter Algebras and the Hopf Algebra of Renormalization, 2006.

K. Ebrahimi-fard, J. Gracia-bond-`-bond-`-ia, and F. Patras, A Lie Theoretic Approach to Renormalization, Communications in Mathematical Physics, vol.15, issue.76, p.519549, 2007.
DOI : 10.1007/s00220-007-0346-8

K. Ebrahimi-fard, J. Gracia-bond-`-bond-`-ia, and F. Patras, Rota-Baxter algebras and new identities, Letters Math, pp.61-75, 2007.

K. Ebrahimi-fard and L. Guo, Rota-Baxter algebras in renormalization of perturbative quantum field theory
DOI : 10.1090/fic/050/04

K. Ebrahimi-fard and D. Manchon, The combinatorics of Bogoliubov???s recursion in renormalization
DOI : 10.4171/073-1/5

K. Ebrahimi-fard, D. Manchon, and F. Patras, A Bohnenblust-Spitzer identity for Rota-Baxter algebras solves Bogolioubov's counterterm recursion, J. Noncommutative Geom

K. Ebrahimi-fard, D. Manchon, and F. Patras, New identities in dendriform algebras, Journal of Algebra, vol.320, issue.2, pp.708-727, 2008.
DOI : 10.1016/j.jalgebra.2007.12.013
URL : https://hal.archives-ouvertes.fr/hal-00483480

H. Figueroa and J. M. Gracia-bondía, COMBINATORIAL HOPF ALGEBRAS IN QUANTUM FIELD THEORY I, Reviews in Mathematical Physics, vol.17, issue.08, pp.881-976, 2005.
DOI : 10.1142/S0129055X05002467

I. M. Gelfand, D. Krob, A. Lascoux, B. Leclerc, V. Retakh et al., Noncommutative Symmetrical Functions, Noncommutative symmetric functions, pp.218-348, 1995.
DOI : 10.1006/aima.1995.1032
URL : http://doi.org/10.1006/aima.1995.1032

C. Itzykson and J. Zuber, Quantum field theory, MacGraw-Hill, 1980.

D. Kreimer, Chen???s iterated integral represents the operator product expansion, Advances in Theoretical and Mathematical Physics, vol.3, issue.3, 1999.
DOI : 10.4310/ATMP.1999.v3.n3.a7

D. Manchon, Bogota lectures on Hopf algebras, from basics to applications to renormalization, Comptes-rendus des Rencontres mathématiques de Glanon, 2001.

B. Mielnik and J. Pleba´nskipleba´nski, Combinatorial approach to Baker-Campbell-Hausdorff exponents, pp.215-254, 1970.

F. Patras, Homothéties simpliciales, Thèse de Doctorat, 1992.

F. Patras, La d??composition en poids des alg??bres de Hopf, Annales de l???institut Fourier, vol.43, issue.4, pp.1067-1087, 1993.
DOI : 10.5802/aif.1365
URL : http://archive.numdam.org/article/AIF_1993__43_4_1067_0.pdf

F. Patras, Decent Algebra of a Graduated Bigebra, Journal of Algebra, vol.170, issue.2, pp.547-566, 1994.
DOI : 10.1006/jabr.1994.1352

F. Patras, . Ch, and . Reutenauer, Higher Lie Idempotents, Journal of Algebra, vol.222, issue.1, pp.51-64, 1999.
DOI : 10.1006/jabr.1999.7887
URL : http://doi.org/10.1006/jabr.1999.7887

F. Patras, . Ch, and . Reutenauer, On Dynkin and Klyachko Idempotents in Graded Bialgebras, Advances in Applied Mathematics, vol.28, issue.3-4, pp.560-579, 2002.
DOI : 10.1006/aama.2001.0795

F. Patras, . Ch, and . Reutenauer, Lie representations and an algebra containing Solomon's, Journal of Algebraic Combinatorics, vol.16, issue.3, pp.301-314, 2002.
DOI : 10.1023/A:1021856522624

C. Reutenauer, Theorem of Poincaré-Birkhoff-Witt, logarithm and representations of the symmetric group whose orders are the Stirling numbers, Combinatoire enumérative, Proceedings, Montréal Lecture Notes in Mathematics, pp.267-284, 1985.

C. Reutenauer, Free lie algebras, 1993.
DOI : 10.1016/S1570-7954(03)80075-X

G. Rota, Baxter algebras and combinatorial identities. II, Bulletin of the American Mathematical Society, vol.75, issue.2, pp.325-329, 1969.
DOI : 10.1090/S0002-9904-1969-12158-0

G. Rota and D. A. Smith, Fluctuation theory and Baxter algebras, Symposia Mathematica IX, pp.179-201, 1972.

L. Solomon, On the Poincar??-Birkhoff-Witt theorem, Journal of Combinatorial Theory, vol.4, issue.4, pp.363-375, 1968.
DOI : 10.1016/S0021-9800(68)80062-6

L. Solomon, A Mackey formula in the group ring of a Coxeter group, Journal of Algebra, vol.41, issue.2, pp.255-268, 1976.
DOI : 10.1016/0021-8693(76)90182-4

E. Zeidler, Quantum Field Theory I. Basics in Mathematics and Physics, 2006.
DOI : 10.1007/978-3-540-34764-4