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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Representations of Chevalley groups arising from admissible lattices
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by Zong Zhu Lin PDF
Proc. Amer. Math. Soc. 114 (1992), 651-660 Request permission

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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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 114 (1992), 651-660
  • MSC: Primary 20G05; Secondary 17B10
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1079702-8
  • MathSciNet review: 1079702