Torsion in the cohomology of line bundles on homogeneous spaces for Chevalley groups
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- by Henning Haahr Andersen PDF
- Proc. Amer. Math. Soc. 96 (1986), 537-544 Request permission
Abstract:
In this paper we study the torsion submodules of the cohomology modules for line bundles on $G/B$ where $G$ is a Chevalley group over ${\mathbf {Z}}$ and $B$ a Borel subgroup.References
- Henning Haahr Andersen, Cohomology of line bundles on $G/B$, Ann. Sci. École Norm. Sup. (4) 12 (1979), no. 1, 85–100. MR 532377
- Henning Haahr Andersen, On the structure of the cohomology of line bundles on $G/B$, J. Algebra 71 (1981), no. 1, 245–258. MR 627438, DOI 10.1016/0021-8693(81)90119-8
- Henning Haahr Andersen, Filtrations of cohomology modules for Chevalley groups, Ann. Sci. École Norm. Sup. (4) 16 (1983), no. 4, 495–528 (1984). MR 740588 K. Kühne-Hausmann, Zur Untermodulstruktur der Weylmoduln für $S{L_3}$, Thesis, Universität Bonn, 1984.
Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 96 (1986), 537-544
- MSC: Primary 20G10; Secondary 14L30, 14M17
- DOI: https://doi.org/10.1090/S0002-9939-1986-0826477-8
- MathSciNet review: 826477