F. Bergeron, A. Garsia, M. Haiman, and G. Tesler, Identities and Positivity Conjectures for Some Remarkable Operators in the Theory of Symmetric Functions, Methods and Applications of Analysis, pp.363-420, 1999.

N. Bergeron and M. , Zabrocki, q and q, t-analogs of non-commutative symmetric functions, pp.79-103, 2005.

F. Descouens, Making research on symmetric functions using MuPAD-Combinat, Lectures Notes in Computer Sciences, p.4151, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00622686

A. Garsia and J. Haglund, A positivity result in the theory of Macdonald polynomials, Proc. Natl. Acad. Sci, USA, 98, pp.4313-4316, 2001.
DOI : 10.1073/pnas.071043398

A. Garsia and J. Haglund, A proof of the q,t-Catalan positivity conjecture, Discrete Mathematics, vol.256, issue.3, pp.677-717, 2002.
DOI : 10.1016/S0012-365X(02)00343-6

A. Garsia and M. Haiman, A remarkable q, t-Catalan sequence and q-Lagrange inversion, Journal of Algebraic Combinatorics, vol.5, issue.3, pp.191-244, 1996.
DOI : 10.1007/BF00243787

I. M. Gelfand, D. Krob, B. Leclerc, A. Lascoux, 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

M. Haiman, J. Haglund, N. Loehr, J. Remmel, and A. Ulyanov, A combinatorial formula of the diagonal coinvariants, Duke Math, J, vol.126, pp.195-232, 2005.

J. Haglund, Conjectured statistics for the q,t-Catalan numbers, Advances in Mathematics, vol.175, issue.2, pp.319-334, 2003.
DOI : 10.1016/S0001-8708(02)00061-0

J. Haglund and N. Loehr, A conjectured combinatorial formula for the Hilbert series for diagonal harmonics, Discrete Math, pp.189-204, 2005.

P. Hilton and J. Pedersen, Catalan Numbers, Their Generalization, and Their Uses, The Mathematical Intelligencer, vol.5, issue.4, pp.64-75, 1991.
DOI : 10.1007/BF03024089

F. Hivert, Hecke Algebras, Difference Operators, and Quasi-Symmetric Functions, Advances in Mathematics, vol.155, issue.2, pp.181-238, 2000.
DOI : 10.1006/aima.1999.1901

URL : https://hal.archives-ouvertes.fr/hal-00622624

F. Hivert, A. Lascoux, and J. Thibon, Non-commutative symmetric functions and quasi-symmetric functions with two and more parameters, 2001.

F. Hivert and N. Thiéry, MuPAD-Combinat, an open source package for research in algebraic combinatorics, pp.51-70, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00622769

L. Lapointe, A. Lascoux, and J. Morse, Tableaux atoms and a new Macdonald positivity conjecture, Duke Math, J, vol.116, issue.1, pp.103-146, 2003.

L. Lapointe and J. Morse, Schur function analogs for a filtration of the symmetric function space, Journal of Combinatorial Theory, Series A, vol.101, issue.2, pp.191-224, 2003.
DOI : 10.1016/S0097-3165(02)00012-2

N. Loehr and G. Warrington, Nested quantum Dyck paths and (s ? ), Preprint, 2007.

I. G. Macdonald, Symmetric Functions and Hall-Polynomials, 1995.

L. Tevlin, Noncommutative Analogs of Monomial Symmetric Functions, Cauchy Identity, and Hall Scalar Product