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A filtration of Weyl modules for large weights

Part of: Linear algebraic groups and related topics

Published online by Cambridge University Press:  09 April 2009

W. J. Wong
W. J. Wong
Affiliation:
Department of Mathematics, University of Notre DameNotre Dame, Indiana 46556, U.S.A
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Abstract

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A filtration is constructed for each dual Weyl module of a connected reductive group in prime characteristic p, and the quotients of the filtration are identified when the highest weight is far enough from the walls of the dominant chamber. The existence of certain composition factors is deduced.

MSC classification

Secondary: 20G05: Representation theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 45 , Issue 2 , October 1988 , pp. 187 - 194
Copyright
Copyright © Australian Mathematical Society 1988

References

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[3]Kempf, G., ‘Linear systems on homogeneous spaces’, Ann. of Math. 103 (1976), 557–591.CrossRefGoogle Scholar
[4]Wong, W. J., ‘Very strong linkage for cohomology groups of line bundles on G/B’, J. Algebra, to appear.Google Scholar