N. Bergeron, C. Hohlweg, M. Rosas, and M. Zabrocki, Grothendieck bialgebras, partition lattices, and symmetric functions in noncommutative variables, Electron. J. Combin.Research Paper, vol.13, issue.19, p.pp, 2006.

N. Bergeron, C. Reutenauer, C. Rosas, and M. Zabrocki, Invariants and Coinvariants of the Symmetric Group in Noncommuting Variables, Journal canadien de math??matiques, vol.60, issue.2
DOI : 10.4153/CJM-2008-013-4

N. Bergeron and M. Zabrocki, The hopf algebras of symmetric functions and quasisymmetric functions in non-commutative variables are free and cofree, J. of Alg. and Its Appl, 2005.

W. Dicks and E. Formanek, Poincaré series and a problem of S. Montgomery. Linear and Multilinear Algebra, pp.21-3083, 1982.

I. M. Gelfand, D. Krob, A. Lascoux, B. Leclerc, V. S. Retakh et al., Noncommutative Symmetrical Functions, Advances in Mathematics, vol.112, issue.2, pp.218-348, 1995.
DOI : 10.1006/aima.1995.1032

F. Hivert, J. C. Novelli, and J. Y. Thibon, Commutative combinatorial Hopf algebras, Journal of Algebraic Combinatorics, vol.29, issue.9
DOI : 10.1007/s10801-007-0077-0

URL : https://hal.archives-ouvertes.fr/hal-00484675

F. Hivert, J. C. Novelli, and J. Y. Thibon, Commutative hopf algebras of permutations and trees, 2005.

I. G. Macdonald, Symmetric functions and Hall polynomials, 1979.

R. C. Orellana, On the algebraic decomposition of a centralizer algebra of the hyperoctahedral group, Algebraic structures and their representations, pp.345-357
DOI : 10.1090/conm/376/06970

M. H. Rosas and B. E. Sagan, Symmetric functions in noncommuting variables, Transactions of the American Mathematical Society, vol.358, issue.1, pp.215-232, 2006.
DOI : 10.1090/S0002-9947-04-03623-2