Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Torsion in the cohomology of line bundles on homogeneous spaces for Chevalley groups


Author: Henning Haahr Andersen
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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

  • [1] H. H. Andersen, Cohomology of line bundles on $ G/B$, Ann. Sci. École Norm. Sup. (4) 12 (1979), 85-100. MR 532377 (80j:14044)
  • [2] -, On the structure of the cohomology of line bundles on $ G/B$, J. Algebra 71 (1981), 245-258. MR 627438 (83a:14016)
  • [3] -, Filtrations of cohomology modules for Chevalley groups, Ann. Sci. École Norm. Sup. (4) 16 (1983), 495-528. MR 740588 (85k:20128)
  • [4] K. Kühne-Hausmann, Zur Untermodulstruktur der Weylmoduln für $ S{L_3}$, Thesis, Universität Bonn, 1984.

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 20G10, 14L30, 14M17

Retrieve articles in all journals with MSC: 20G10, 14L30, 14M17


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1986-0826477-8
Article copyright: © Copyright 1986 American Mathematical Society

American Mathematical Society