, ?13 denote the representations of the balanced system of cell representations constructed in Theorem 6.1. Thus typically ?j = ?j , with only the following exceptions: In equal parameters we have ?2 = ?2 ? ?5 ? ?6, for (r1, r2) ? {(r, 1) | r ? 1} we have ?13 = ?5 ? ?7 ? ?12, and for
, This is by direct observation for each parameter regime. For example, consider (r1, r2) ? A1 In this case ?(r1, r2) is as in (7.1), and from Figure 5 we have ?(r1, r2), and the result follows in this case
, Semicontinuity properties of Kazhdan-Lusztig cells, New Zealand J. Math, vol.39, issue.1, pp.171-192, 2009.
, Left cells in type Bn with unequal parameters, pp.587-609, 2003.
, C * -algebras, volume North-Holland Mathematical Library, 1977.
, The Hodge theory of Soergel bimodules, Annals of Mathematics, vol.180, issue.2, pp.1089-1136, 2014.
DOI : 10.4007/annals.2014.180.3.6
, Constructible characters, leading coefficients and left cells for finite Coxeter groups with unequal parameters, Representation Theory of the American Mathematical Society, vol.006, issue.01, pp.1-30, 2002.
DOI : 10.1090/S1088-4165-02-00128-0
, Computing Kazhdan???Lusztig cells for unequal parameters, Journal of Algebra, vol.281, issue.1, pp.342-365, 2004.
DOI : 10.1016/j.jalgebra.2004.07.029
URL : https://doi.org/10.1016/j.jalgebra.2004.07.029
, On Iwahori-Hecke Algebras with Unequal Parameters and Lusztig's Isomorphism Theorem, Pure and Applied Mathematics Quarterly, vol.7, issue.3, pp.587-620, 2011.
DOI : 10.4310/PAMQ.2011.v7.n3.a5
, CHEVIE ? A system for computing and processing generic character tables, Applicable Algebra in Engineering, Communication and Computing, vol.131, issue.3, pp.175-210, 1996.
DOI : 10.4153/CJM-1954-028-3
, Alcove walks and nearby cycles on affine flag manifolds, Journal of Algebraic Combinatorics, vol.2, issue.3, pp.415-430, 2007.
DOI : 10.1017/CBO9780511623646
, Kazhdan-Lusztig Cells in Affine Weyl Groups of Rank 2, International Mathematics Research Notices, vol.22, pp.3422-3462, 2010.
DOI : 10.1007/978-1-4612-1104-4_10
URL : https://hal.archives-ouvertes.fr/hal-01277222
, A proof of Lusztig's conjectures for affine type G2 with arbitrary parameters, 2017.
, Representations of Coxeter groups and Hecke algebras, Inventiones Mathematicae, vol.4, issue.2, pp.165-184, 1979.
DOI : 10.1007/BF01390031
, Schubert varieties and Poincar?? duality, Proc. Sympos. Pure Math, pp.185-203, 1980.
DOI : 10.1090/pspum/036/573434
, Left cells in weyl groups, Lecture Notes in Math, vol.71, issue.2, pp.99-111, 1983.
DOI : 10.1007/BF01389103
, Hecke algebras with unequal parameters, CRM Monograph Series. Amer. Math. Soc, vol.18, 2003.
DOI : 10.1090/crmm/018
, Characters of finite Coxeter groups and Iwahori-Hecke algebras, 2000.
, The development version of the CHEVIE package of GAP3, Journal of Algebra, vol.435, pp.308-336, 2015.
DOI : 10.1016/j.jalgebra.2015.03.031
URL : https://hal.archives-ouvertes.fr/hal-00877067
, ON THE SPECTRAL DECOMPOSITION OF AFFINE HECKE ALGEBRAS, Journal of the Institute of Mathematics of Jussieu, vol.3, issue.4, pp.531-648, 2004.
DOI : 10.1017/S1474748004000155
, On calibrated representations and the Plancherel Theorem for affine Hecke algebras, Journal of Algebraic Combinatorics, vol.119, issue.1, pp.331-371, 2014.
DOI : 10.1353/ajm.1997.0005
, Alcove Walks, Hecke Algebras, Spherical Functions, Crystals and Column Strict Tableaux, Pure and Applied Mathematics Quarterly, vol.2, issue.4, pp.963-1013, 2006.
DOI : 10.4310/PAMQ.2006.v2.n4.a4
, GAP ? Groups, Algorithms, and Programming ? version 3 release 4 patchlevel 4, Lehrstuhl D für Mathematik, Rheinisch Westfälische Technische Hochschule, 1997.
, A decomposition formula for the Kazhdan-Lusztig basis of affine Hecke algebras of rank 2, 2015.