Filtrations of cohomology modules for Chevalley groups
Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 16 (1983) no. 4, pp. 495-528.
@article{ASENS_1983_4_16_4_495_0,
     author = {Andersen, Henning Haahr},
     title = {Filtrations of cohomology modules for {Chevalley} groups},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {495--528},
     publisher = {Elsevier},
     volume = {Ser. 4, 16},
     number = {4},
     year = {1983},
     doi = {10.24033/asens.1458},
     zbl = {0545.20030},
     mrnumber = {740588},
     language = {en},
     url = {http://www.numdam.org/articles/10.24033/asens.1458/}
}
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Andersen, Henning Haahr. Filtrations of cohomology modules for Chevalley groups. Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 16 (1983) no. 4, pp. 495-528. doi : 10.24033/asens.1458. http://www.numdam.org/articles/10.24033/asens.1458/

[1] H. H. Andersen, The Strong Linkage Principle (J. Reine Angew. Math., Vol. 315, 1980, pp. 53-59). | MR | Zbl

[2] H. H. Andersen, On the Structure of Weyl Modules (Math. Z., Vol. 170, 1980, pp. 1-14). | MR | Zbl

[3] H. H. Andersen, The Frobenius Morphism on the Cohomology of Homogeneous Vector Bundles on G/B (Ann. of Math., Vol. 112, 1980, pp. 113-121). | MR | Zbl

[4] H. H. Andersen, On the structure of the Cohomology of Line Bundles on G/B (J. Alg., Vol. 71, 1981, pp. 245-258). | MR | Zbl

[5] H. H. Andersen, An Inversion Formula for the Kazhdan-Lusztig Polynomials for Affine Weyl Groups [Adv. in Math. (to appear)]. | Zbl

[6] R. Bott, Homogeneous Vector Bundles (Ann. of Math., Vol. 66, 1957, pp. 203-248). | MR | Zbl

[7] E. Cline, B. Parshall and L. Scott, Cohomology Hyperalgebras and Representations (J. Alg., Vol. 63, 1980, pp. 98-123). | MR | Zbl

[8] E. Cline, B. Parshall, L. Scott and W. Van Der Kallen, Rational and Generic Cohomology (Invent. Math., Vol. 39, 1977, pp. 143-163). | MR | Zbl

[9] M. Demazure, A Very Simple Proof of Bott's Theorem (Invent. Math., Vol. 33, 1976, pp. 271-272). | MR | Zbl

[10] O. Gabber and A. Joseph, Towards the Kazhdan-Lusztig Conjecture (Ann. Sc. École Norm. Sup., Vol. 14, 1981, pp. 261-302). | Numdam | MR | Zbl

[11] H. Hasse, Number Theory, Grundlehren der Math. W., 1980, Springer Verlag. | MR | Zbl

[12] J. E. Humphreys, Cohomology of G/B in Characteristic p [Adv. in Math. (to appear)]. | Zbl

[13] J. C. Jantzen, Darstellungen Halbeinfacher Gruppen und Kontravariante Formen (J. Reine Angew. Math., Vol. 290, 1977, pp. 117-141). | MR | Zbl

[14] J. C. Jantzen, Weyl Modules for Groups of Lie Type, in Finite Simple Groups II, pp. 291-300, London, Academic Press, 1980. | Zbl

[15] J. C. Jantzen, Moduln mit Einem Höchsten Gewicht, SLN 750, Berlin-Heidelberg-New York, 1979. | MR | Zbl

[16] G. Kempf, Linear Systems on Homogeneous Spaces (Ann. Math., Vol. 103, 1976, pp. 557-591). | MR | Zbl

[17] G. Lustig, Some Problems in the Representation Theory of Finite Chevalley Groups (Proc. Symp. Pure Math., Vol. 37, 1980, pp. 313-317). | MR | Zbl

[18] J.-P. Serre, Groupe de Grothendieck des schémas en groupes réductifs déployés (Publ. Math. I.H.E.S., Vol. 34, 1968, pp. 37-52). | Numdam | MR | Zbl

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