V. Diekert and G. Rozenberg, The Book of Traces, World Scientific, 1995.
DOI : 10.1142/2563

G. Duchamp, A. Klyachko, D. Krob, and J. Thibon, Noncommutative symmetric functions III: Deformations of Cauchy and convolution algebras, Discrete Math. and Theoret, Comp. Sci, vol.1, pp.159-216, 1997.

G. Duchamp, ´. E. Laugerotte, and J. Luque, On the support of graph Lie algebras, Theoretical Computer Science, vol.273, issue.1-2, pp.283-294, 2002.
DOI : 10.1016/S0304-3975(00)00446-1
URL : https://hal.archives-ouvertes.fr/hal-00622614

G. Duchamp and J. Thibon, Le support de l'algèbre de Lie libre, Discrete Math, pp.123-132, 1989.
DOI : 10.1016/0012-365x(89)90305-1
URL : http://doi.org/10.1016/0012-365x(89)90305-1

N. J. Fine, Binomial Coefficients Modulo a Prime, The American Mathematical Monthly, vol.54, issue.10, pp.589-592, 1984.
DOI : 10.2307/2304500

R. Graham, D. Knuth, and O. Patashnik, Concrete Mathematics: A Foundation for Computer Science, Computers in Physics, vol.3, issue.5, 1994.
DOI : 10.1063/1.4822863

M. Katsura and Y. Kobayashi, The shuffle algebra and its derivations, Theoretical Computer Science, vol.115, issue.2, pp.359-369, 1993.
DOI : 10.1016/0304-3975(93)90124-C

E. Lucas, Sur les congruences des nombres Eulériens et des coefficients differentiels des fonctions trigonométriques, suivant un module premier, Bull, pp.6-1877
DOI : 10.24033/bsmf.127

I. Michos, On twin and anti-twin words in the support of the free Lie algebra, Journal of Algebraic Combinatorics, vol.68, issue.3, 2010.
DOI : 10.1007/s10801-011-0339-8

D. E. Radford, A natural ring basis for the shuffle algebra and an application to group schemes, Journal of Algebra, vol.58, issue.2, pp.432-454, 1979.
DOI : 10.1016/0021-8693(79)90171-6

R. Ree, Lie Elements and an Algebra Associated With Shuffles, The Annals of Mathematics, vol.68, issue.2, pp.210-220, 1958.
DOI : 10.2307/1970243

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

B. E. Sagan, The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions, Graduate Texts in Mathematics, vol.203, 2001.
DOI : 10.1007/978-1-4757-6804-6

M. Schocker, The descent algebra of the symmetric group, Representations of finite dimensional algebras and related topics in Lie theory and geometry, Fields Inst, Comm, vol.40, pp.145-161, 2004.