Variétés de Schubert et excellentes filtrations
Orbites unipotentes et représentations III. Orbites et faisceaux pervers, Astérisque no. 173-174  (1989), p. 281-311
@incollection{AST_1989__173-174__281_0,
     author = {Polo, Patrick},
     title = {Vari\'et\'es de Schubert et excellentes filtrations},
     booktitle = {Orbites unipotentes et repr\'esentations III. Orbites et faisceaux pervers},
     author = {Collectif},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {173-174},
     year = {1989},
     pages = {281-311},
     zbl = {0733.20021},
     mrnumber = {1021515},
     language = {fr},
     url = {http://www.numdam.org/item/AST_1989__173-174__281_0}
}
Polo, Patrick. Variétés de Schubert et excellentes filtrations, in Orbites unipotentes et représentations III. Orbites et faisceaux pervers, Astérisque, no. 173-174 (1989), pp. 281-311. http://www.numdam.org/item/AST_1989__173-174__281_0/

[A 1] H. H. Andersen. The strong linkage principle, J. reine angew. Math. 315 (1980), 53-59. | MR 564523 | Zbl 0439.20026

[A 2] H. H. Andersen. Schubert varieties and Demazure's character formula, Invent. Math. 79 (1985), 611-618. | Article | MR 782239 | Zbl 0591.14036

[B 1] Bourbaki. Groupes et algèbres de Lie, Chap. 4-5-6, Hermann, Paris, 1968, | Zbl 0483.22001

Bourbaki. Groupes et algèbres de Lie, Chap. 4-5-6, Masson, Paris, 1981. | Zbl 0483.22001

[B 2] Bourbaki. Groupes et algèbres de Lie, Chap. 7-8, Hermann, Paris, 1975. | Zbl 0329.17002

[C] M. Couillens. Algèbres de Hecke, dans Séminaire sur les groupes finis, Tome 2, Public. Math. Paris 7. | MR 772214 | Zbl 0598.20050

[C-K-P-S] E. Cline, W. Van Der Kallen, L. Scott, B. Parshall. Rational and generic cohomology, Invent. Math. 39 (1977), 143-163. | Article | MR 439856 | Zbl 0336.20036

[C-P-S 1] E. Cline, L. Scott, B. Parshall. Induced modules and extensions of représentations 2, J. London Math. Soc. 20 (1979), 403-414. | Article | MR 561132 | Zbl 0438.20028

[C-P-S 2] E. Cline, L. Scott, B. Parshall. Cohomology, hyperalgebras and représentations, J. of Algebra 63 (1980), 98-123. | Article | MR 568566 | Zbl 0434.20024

[Dem] M. Demazure. Désingularisation des variétés de Schubert généralisées, Ann. Scient. Ec. Norm. Sup 7 (1974), 53-88. | Article | Numdam | MR 354697 | Zbl 0312.14009

[Deo] V. V. Deodhar. Some characterizations of Bruhat ordering on a Coxeter group..., Invent Math. 39 (1977), 187-198. | Article | MR 435249 | Zbl 0333.20041

[Do 1] S. Donkin. A filtration for rational modules, Math. Z. 177 (1981), 1-8. | Article | MR 611465 | Zbl 0455.20029

[Do 2] S. Donkin. Rational representations of algebraic groups, Lect. Notes in Math. 1140, Springer-Verlag, Berlin/Heidelberg, 1985. | MR 804233 | Zbl 0586.20017

[Do 3] S. Donkin. On Schur algebras and related algebras 1, J. of Algebra 104 (1986), 310-328. | Article | MR 866778 | Zbl 0606.20038

[G 1,2] A. Grothendieck. Eléments de Géométrie Algébrique, Chapitre 2, et Chapitre 8 (Partie 1), Public. Math. IHES nos 8 et 11, Paris, 1961. | Numdam | Zbl 0135.39701

[H] J. Humphreys. Introduction to Lie algebras and representation theory, Grad.Texts in Math, Springer-Verlag, New York, 1972. | Article | MR 323842 | Zbl 0447.17001 | Zbl 0254.17004

[Ii] S. Iitaka. Algebraic Geometry, Grad.Texts in Math, Springer-Verlag, New York, 1982. | Article | MR 637060 | Zbl 0491.14006

[Ja 1] J. C. Jantzen. Darstellungen halbeinfacher Gruppen und kontravariante Formen, J. reine angew. Math. 290 (1977), 117-141. | MR 432775 | Zbl 0342.20022

[Ja 2] J. C. Jantzen. Representations of Algebraic Groups, Academic Press, Orlando, 1987. | MR 899071 | Zbl 0654.20039

[Jo] A. Joseph. On the Demazure character formula, Ann. Scient. Ec. Norm. Sup. 18 (1985), 389-419. | Article | Numdam | MR 826100 | Zbl 0589.22014

[Ka] W. Van Der Kallen. Longest weight vectors and excellent filtrations, preprint, Janvier 1988. | MR 990185 | Zbl 0642.20037

[Ku] S. Kumar. Proof of the Parthasarathy-Ranga Rao-Varadarajan conjecture, preprint, Août 1987. | MR 943925 | Zbl 0668.17008

[L-S] V. Lakshmibai, C. S. Seshadri. Geometry of G/P-5, J. of Algebra 100 (1986), 462-557. | MR 840589 | Zbl 0618.14026

[Ma 1, 2] O. Mathieu. Formules de Weyl et de Demazure, et théorème de Borel-Weil-Bott pour les algèbres de Kac-Moody générales, à paraître dans Astérique. | MR 980506

[Ma 3] O. Mathieu. Construction d'un groupe de Kac-Moody et applications, C.R.Acad. Sci. Paris, t. 306, Série 1, 227-230, 1988. | MR 932325 | Zbl 0666.17006

[Ma 4] O. Mathieu. Construction d'un groupe de Kac-Moody et applications, prépublication, Août 1987. | Numdam | Zbl 0678.17012

[M-R 1] V. B. Mehta, A. Ramanathan. Frobenius splitting and cohomology vanishing for Schubert varieties, Annals of Maths. 122 (1985), 27-40. | Article | MR 799251 | Zbl 0601.14043

[M-R 2] V. B. Mehta, A. Ramanathan. Schubert Varieties in G/B×G/B, preprint. | Numdam | MR 959217 | Zbl 0665.14020

[P 1] P. Polo. Un critère d'existence d'une filtration de Schubert, prépublication, juin 1988, à paraître aux C. R. Acad. Sci. Paris. | MR 971833 | Zbl 0669.20034

[P 2] P. Polo. Monômes Standards et Excellentes Filtrations, prépublication, septembre 1988.

[R] A. Ramanathan. Schubert varieties are arithmetically Cohen-Macaulay, Invent. Math. 80 (1985), 283-294. | Article | MR 788411 | Zbl 0541.14039

[R-R] S. Ramanan, A. Ramanathan. Projective normality of flag varieties and Schubert varieties, Invent. Math. 79 (1985), 217-224. | Article | MR 778124 | Zbl 0553.14023

[Se] C. S. Seshadri. Line bundles on Schubert varieties, in Vectors Bundles on Algebraic Varieties, Papers presented at the Bombay colloquium 1984, TIFR Studies in Math, n° 11, 1987. | MR 893610 | Zbl 0688.14047

[St] R. Steinberg. Lectures on Chevalley Groups, Yale University Notes, 1967. | MR 466335 | Zbl 1196.22001

[W] Wang Jian-Pan. Sheaf Cohomology on G/B and Tensor Products of Weyl Modules, J. of Algebra 77 (1982), 162-185. | Article | MR 665171 | Zbl 0493.20023