@incollection{AST_1981__87-88__21_0, author = {Andersen, Henning Haahr}, title = {Line bundles on flag manifolds}, booktitle = {Tableaux de Young et foncteurs de Schur en alg\`ebre et g\'eom\'etrie - TORUN, Pologne, 1980}, series = {Ast\'erisque}, pages = {21--42}, publisher = {Soci\'et\'e math\'ematique de France}, number = {87-88}, year = {1981}, zbl = {0531.20022}, language = {en}, url = {http://www.numdam.org/item/AST_1981__87-88__21_0/} }
TY - CHAP AU - Andersen, Henning Haahr TI - Line bundles on flag manifolds BT - Tableaux de Young et foncteurs de Schur en algèbre et géométrie - TORUN, Pologne, 1980 AU - Collectif T3 - Astérisque PY - 1981 SP - 21 EP - 42 IS - 87-88 PB - Société mathématique de France UR - http://www.numdam.org/item/AST_1981__87-88__21_0/ LA - en ID - AST_1981__87-88__21_0 ER -
%0 Book Section %A Andersen, Henning Haahr %T Line bundles on flag manifolds %B Tableaux de Young et foncteurs de Schur en algèbre et géométrie - TORUN, Pologne, 1980 %A Collectif %S Astérisque %D 1981 %P 21-42 %N 87-88 %I Société mathématique de France %U http://www.numdam.org/item/AST_1981__87-88__21_0/ %G en %F AST_1981__87-88__21_0
Andersen, Henning Haahr. Line bundles on flag manifolds, dans Tableaux de Young et foncteurs de Schur en algèbre et géométrie - TORUN, Pologne, 1980, Astérisque, no. 87-88 (1981), pp. 21-42. http://www.numdam.org/item/AST_1981__87-88__21_0/
1. The first cohomology group of a line bundle on G/B, Invent. Math. 51 (1979), 287-296. | DOI | EuDML | Zbl
,2. Vanishing theorems and induced representations, J. Alg. 62 (1980), 86-100. | DOI | Zbl
,3. The strong linkage principle, J. Reine Ang. Math. 315 (1980), 53-59. | EuDML | Zbl
,4. On the structure of Weyl modules. Math. Z. 170 (1980), 1-14. | DOI | EuDML | Zbl
,5.The Frobenius morphism on the cohomology of homogeneous vector bundles on G/B, Ann. Math. 112 (1980), to appear. | DOI | Zbl
,6. On the structure of the cohomology of line bundles on G/B, to appear. | Zbl
,7. Injective modules for restricted enveloping algebras. Math. Z. 163 (1978), 57-63. | DOI | EuDML | Zbl
,8. Characteristic classes and homogeneous spaces, Amer. J. Math. 80 (1958) , 458-538 | DOI | Zbl
and ,Characteristic classes and homogeneous spaces, Amer. J. Math. 81 (1959), 315-382 | DOI | Zbl
,Characteristic classes and homogeneous spaces, Amer. J. Math. 82 (1960), 491-504. | DOI | Zbl
,9. Representation linéaires et espace homogènes Kahlerians de groupes de Lie compacts. (Exposé par J.-P. Serre) Sem. Bourbaki, May 1954.
and ,10. Homogeneous vector bundles, Ann. Math. 66 (1957), 203-248. | DOI | Zbl
,11. On the modular representations of the general linear and symmetric groups, Math. Z. 136 (1974), 193-242. | DOI | EuDML | MR | Zbl
and ,12. On homomorphisms between Weyl modules and Specht modules, Math. Proc. Camb. Phil. Soc. 89 (1980), 419-425. | DOI | MR | Zbl
and ,13. Les systèmes linéaires sur G/B, Sem. Chevalley (Classification des groupes de Lie algébriques), Exposes 15 (1957).
,14. Rational and generic cohomology, Invent. Math. 39 (1977), 143-163. | DOI | EuDML | MR | Zbl
, , and ,15. Induced modules and extensions of representations, Invent. Math, 47 (1978) 41-51. | DOI | EuDML | MR | Zbl
, and ,16. Cohomology, hyperalgebras and representations, J. Alg. 63 (1980), 98-123. | DOI | MR | Zbl
, and ,17. A characteristic free approach to invariant theory, Adv. Math. 21 ( ) , 330-354. | DOI | MR | Zbl
and ,18. Une démonstration algébrique d'un théorème de Bott, Invent. Math. 5 (1968) , 349-356. | DOI | EuDML | MR | Zbl
,19. Désingularisation des varietés de Schubert généralisées, Ann. Sc. École Norm. Sup. 7 (1974) , 53-88. | DOI | EuDML | Numdam | MR | Zbl
,20. A very simple proof of Bott's theorem, Invent. Math. 33 (1976) , 271-272. | DOI | EuDML | MR | Zbl
,21. The blocks of a semi-simple algebraic group, to appear. | MR | Zbl
,22. A filtration for rationally injective modules for a semi-simple algebraic group, to appear. | MR
,23. Cohomology of line bundles in characteristic p, to appear.
,24. A short proof of the Kempf vanishing theorem, Invent. Math. 56 (1980) , 109-112. | DOI | EuDML | MR | Zbl
,25. Modular representations of classical Lie algebras and semi-simple groups, J. Alg. 19 (1971), 57-79. | DOI | MR | Zbl
,26. On the hyperalgebra of a semi-simple algebraic group, in Contributions to algebra, A collection of papers dedicated to E. Kolchin, Academic Press (1977), 203-210. | MR | Zbl
,27. The geometry of algebraic groups, Adv. Math. 20 (1976), 57-85. | DOI | MR | Zbl
,28. Zur Characterformel gewisser Darstellungen halbeinfachen Gruppen und Lie-Algebren, Math. Z . 140 (1974), 127-149. | DOI | EuDML | MR | Zbl
,29. Darstellungen halbeinfacher Gruppen und kontravariante Formen, J. Reine Ang. Math. 290 (1977), 117-141. | EuDML | MR | Zbl
,30. Über Darstellungen höhere Frobenius-Kerne halbeinfacher algebraischer Gruppen, Math. Z. 164 (1979) , 271-292. | DOI | EuDML | MR | Zbl
,31. Darstellungen halbeinfacher Gruppen und ihrer Frobenius-Kerne, J. Reine Ang. Math., to appear. | EuDML | MR | Zbl
,32. Coadjoint action of a semi-simple algebraic group and the center of the enveloping algebra in characteristic p, Indag. Math. 38 (1976) , 136-151. | DOI | MR | Zbl
and ,33. Representations of Coxeter groups and Hecke algebras. Invent. Math. 53 (1979) , 165-184. | DOI | EuDML | MR | Zbl
and ,34. Vanishing theorems for flag manifolds, Amer. J. Math. 98 (1976), 325-331. | DOI | MR | Zbl
,35. Linear systems on homogeneous spaces, Ann. Math. 103 (1976), 557-591. | DOI | MR | Zbl
,36. Lie algebra cohomology and generalized Borel-Weil theorem, Ann. Math. 74 (1961), 329-387. | DOI | MR | Zbl
,37. Cohomology of line bundles on G/B, Ann. Sc. Ecole Norm. Sup. 7 (1974), 83-139. | EuDML | MR | Zbl
, and ,38. Geometry of G/P-III, Proc. Indian Acad. Sci. 87 (1978) | MR | Zbl
, and ,39. Geometry of G/P IV, Proc. Indian Acad. Sci. (to appear) | Zbl
, and ,40. Geometry of G/P, Bull Amer. Math. Soc. 1 (1979), 432-435. | DOI | MR | Zbl
, and ,41. 87 (1978), 1-54. | MR | Zbl
and , , Proc. Indian Acad. Sci.42. Some problems in the representation theory of finite Chevally groups, Proc. Symp. Pure Math. (to appear). | MR | Zbl
,43 Geometry of G/P-I, in : C.P. Ramanujain - A tribute. Springer Verlag 1978, 207-239. | Zbl
,44. Representations in characteristic p, Proc. Symp. Pure Math. (to appear). | MR | Zbl
,45. The role of the affine Weyl group in the representation theory of algebraic groups and their Lie algebras, Proc. Summer School on group representations of the Bolyai Janos, Math. Soc. , Budapest 1971 (ed. I.M. Gelfand) , 653-705. | MR | Zbl
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