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Representations of Chevalley groups arising from admissible lattices

Author: Zong Zhu Lin
Journal: Proc. Amer. Math. Soc. 114 (1992), 651-660
MSC: Primary 20G05; Secondary 17B10
MathSciNet review: 1079702
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Abstract: The modules for a Chevalley group arising from admissible lattices in an irreducible module for the associated complex semisimple Lie algebra are studied. It is proved that the transpose of such a module is still in this collection and generically the cohomology modules of line bundles on the flag varieties are in this collection also. In the rank 1 case, all modules in this collection are indecomposable and we hope this is true in general.

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Article copyright: © Copyright 1992 American Mathematical Society