I. N. Bern?te?-in, I. M. Gel, S. I. , and U. Mat, Gel fand, Schubert cells, and the cohomology of the spaces, Nauk, vol.28, issue.3171, pp.3-26, 1973.

M. Demazure, Invariants sym???triques entiers des groupes de Weyl et torsion, Inventiones Mathematicae, vol.112, issue.2, pp.287-301, 1973.
DOI : 10.1007/BF01418790

[. Mari, C. Procesi, and M. A. Shayman, Hessenberg Varieties, Transactions of the American Mathematical Society, vol.332, issue.2, pp.529-534, 1992.
DOI : 10.2307/2154181

M. Goresky, R. Kottwitz, R. Macpherson, and E. Cohomology, Koszul duality, and the localization theorem, Invent. Math, vol.13199, issue.1, pp.25-83, 1998.

R. F. Goldin and S. Tolman, Towards generalizing Schubert calculus in the symplectic category, Journal of Symplectic Geometry, vol.7, issue.4, pp.449-473, 2009.
DOI : 10.4310/JSG.2009.v7.n4.a3

C. Victor-guillemin and . Zara, The existence of generating families for the cohomology ring of a graph, Advances in Mathematics, vol.174, issue.1, pp.115-153, 2003.
DOI : 10.1016/S0001-8708(02)00057-9

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

B. Kostant and S. Kumar, The nil Hecke ring and cohomology of G/P for a Kac-Moody group G, Proceedings of the National Academy of Sciences, vol.83, issue.6, pp.187-237, 1986.
DOI : 10.1073/pnas.83.6.1543

[. Teff, Divided difference operator for the highest root Hessenberg variety

J. S. Tymoczko, Paving Hessenberg varieties by affines, Selecta Mathematica, vol.13, issue.2, pp.353-367, 2007.
DOI : 10.1007/s00029-007-0038-4