A. Beilinson and J. Bernstein, Localisation de g-modules, C. R. Acad. Sci. Paris Sér. I Math, vol.292, pp.15-18, 1981.

A. Beilinson, J. Bernstein, and P. Deligne, Faisceaux pervers, Analyse et topologie sur les espaces singuliers (I), pp.3-171, 1982.

A. Bia?ynicki-birula, Some Theorems on Actions of Algebraic Groups, The Annals of Mathematics, vol.98, issue.3, pp.98-480, 1973.
DOI : 10.2307/1970915

A. Bia?ynicki-birula, On fixed points of torus actions on projective varieties, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys, vol.22, pp.1097-1101, 1974.

L. Billera and F. Brenti, Quasisymmetric functions and Kazhdan-Lusztig polynomials, Israel Journal of Mathematics, vol.349, issue.1, pp.710-3965
DOI : 10.1007/s11856-011-0070-0

S. Billey and T. Braden, Lower bounds for Kazhdan-Lusztig polynomials from patterns, Transform, pp.321-332, 2003.

S. Billey and G. Warrington, Kazhdan-Lusztig polynomials for 321-hexagon-avoiding permutations, Journal of Algebraic Combinatorics, vol.13, issue.2, pp.111-136, 2001.
DOI : 10.1023/A:1011279130416

S. Billey and G. Warrington, Maximal singular loci of Schubert varieties on SL, Transactions of the American Mathematical Society, vol.355, issue.10, pp.3915-3945, 2003.
DOI : 10.1090/S0002-9947-03-03019-8

A. Björner and F. Brenti, Combinatorics of Coxeter groups, Graduate Texts in Mathematics, vol.231, 2005.

R. Bott and H. Samelson, Applications of the Theory of Morse to Symmetric Spaces, American Journal of Mathematics, vol.80, issue.4, pp.964-1029, 1958.
DOI : 10.2307/2372843

T. Braden and R. Macpherson, From moment graphs to intersection cohomology, Math. Ann, vol.321, pp.533-551, 2001.

J. Brylinski and M. Kashiwara, Kazhdan-Lusztig conjecture and holonomic systems, Inventiones Mathematicae, vol.192, issue.3, pp.387-410, 1981.
DOI : 10.1007/BF01389272

A. Cortez, Generic singularities of covexillary Schubert varieties, Annales de l???institut Fourier, vol.51, issue.2, pp.375-393, 2001.
DOI : 10.5802/aif.1826

A. Cortez, Singularit??s g??n??riques et quasi-r??solutions des vari??t??s de Schubert pour le groupe lin??aire, Advances in Mathematics, vol.178, issue.2, pp.396-445, 2003.
DOI : 10.1016/S0001-8708(02)00081-6

V. Deodhar, Local poincar?? duality and non-singularity of schubert varieties, Communications in Algebra, vol.589, issue.6, pp.1379-1388, 1985.
DOI : 10.1080/00927878508823227

V. Deodhar, A combinatorial setting for questions in Kazhdan ? Lusztig theory, Geometriae Dedicata, vol.36, issue.1, pp.95-119, 1990.
DOI : 10.1007/BF00181467

M. Demazure, D??singularisation des vari??t??s de Schubert g??n??ralis??es, Annales scientifiques de l'??cole normale sup??rieure, vol.7, issue.1, pp.53-88, 1974.
DOI : 10.24033/asens.1261

W. Fulton, Flags, Schubert polynomials, degeneracy loci, and determinantal formulas, Duke Math, J, vol.65, pp.381-420, 1992.

J. Humphreys, Reflection groups and Coxeter groups, Cambridge Studies in Advanced Mathematics, vol.29, 1990.
DOI : 10.1017/CBO9780511623646

R. Irving, The socle filtration of a Verma module, Annales scientifiques de l'??cole normale sup??rieure, vol.21, issue.1, pp.21-47, 1988.
DOI : 10.24033/asens.1550

C. Kassel, A. Lascoux, and C. Reutenauer, The singular locus of a Schubert variety, Journal of Algebra, vol.269, issue.1, pp.74-108, 2003.
DOI : 10.1016/S0021-8693(03)00014-0

URL : https://hal.archives-ouvertes.fr/hal-00084087

D. Kazhdan and G. Lusztig, Representations of Coxeter groups and Hecke algebras, Inventiones Mathematicae, vol.4, issue.2, pp.165-184, 1979.
DOI : 10.1007/BF01390031

A. Lascoux, Polynômes de Kazhdan-Lusztig pour les variétés de Schubert vexillaires, C. R. Acad. Sci. Paris, vol.321, pp.667-670, 1995.

P. Polo, Construction of arbitrary Kazhdan-Lusztig polynomials in symmetric groups, Representation Theory of the American Mathematical Society, vol.3, issue.04, pp.90-104, 1999.
DOI : 10.1090/S1088-4165-99-00074-6

G. Warrington and K. G. Warrington, A formula for certain inverse Kazhdan???Lusztig polynomials in Sn, Journal of Combinatorial Theory, Series A, vol.104, issue.2, pp.301-316, 2002.
DOI : 10.1016/j.jcta.2003.09.002

A. Woo, Permutations with Kazhdan-Lusztig polynomial P id,w (q) = 1 + q h , The Björner Festschrift, Electron, J. Combin, vol.16, issue.2, pp.809-2374, 2009.

A. Woo and A. Yong, Governing singularities of Schubert varieties, Journal of Algebra, vol.320, issue.2, pp.495-520, 2008.
DOI : 10.1016/j.jalgebra.2007.12.016