C. A. Athanasiadis, On a refinement of the generalized Catalan numbers for Weyl groups, Transactions of the American Mathematical Society, vol.357, issue.01, pp.179-196, 2005.
DOI : 10.1090/S0002-9947-04-03548-2

A. Björner and F. Brenti, Affine permutations of type A. Electron The Foata Festschrift, Research Paper 18, approx. 35 pp. (electronic), 1996.

S. Fishel and M. Vazirani, A bijection between dominant Shi regions and core partitions, European Journal of Combinatorics, vol.31, issue.8, pp.312087-2101, 2010.
DOI : 10.1016/j.ejc.2010.05.014
URL : https://hal.archives-ouvertes.fr/hal-01186276

C. Krattenthaler, L. Orsina, and P. Papi, Enumeration of ad-Nilpotent b-Ideals for Simple Lie Algebras, Special issue in memory of Rodica Simion, pp.478-522, 2002.
DOI : 10.1006/aama.2001.0792

L. Lapointe and J. Morse, Tableaux on <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>k</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>-cores, reduced words for affine permutations, and k-Schur expansions, Journal of Combinatorial Theory, Series A, vol.112, issue.1, pp.44-81, 2005.
DOI : 10.1016/j.jcta.2005.01.003

A. Lascoux, Ordering the Affine Symmetric Group, Algebraic combinatorics and applications (Gößweinstein, pp.219-231, 1999.
DOI : 10.1007/978-3-642-59448-9_15
URL : https://hal.archives-ouvertes.fr/hal-00622647

K. Misra and T. Miwa, Crystal base for the basic representation of $$U_q (\widehat{\mathfrak{s}\mathfrak{l}}(n))$$, Communications in Mathematical Physics, vol.19, issue.1, pp.79-88, 1990.
DOI : 10.1007/BF02102090

M. J. Richards, Some decomposition numbers for Hecke algebras of general linear groups, Mathematical Proceedings of the Cambridge Philosophical Society, vol.83, issue.03
DOI : 10.1112/plms/s3-59.1.23

J. Y. Shi, The Kazhdan-Lusztig cells in certain affine Weyl groups, Lecture Notes in Mathematics, vol.1179, 1986.
DOI : 10.1007/BFb0074968

J. Y. Shi, Alcoves Corresponding to an Affine Weyl Group, Journal of the London Mathematical Society, vol.2, issue.1, pp.42-55, 1987.
DOI : 10.1112/jlms/s2-35.1.42
URL : http://jlms.oxfordjournals.org/cgi/content/short/s2-35/1/42

R. P. Stanley, Hyperplane Arrangements, Parking Functions and Tree Inversions, Mathematical essays in honor of Gian-Carlo Rota, pp.359-375, 1996.
DOI : 10.1007/978-1-4612-4108-9_19
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.11.8766