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Description: |
Working over a field of positive characteristic, we consider the problem of describing, by highest weight, the injective polynomial injective modules for the general linear group GL(n) which are also injective as restricted modules for the general linear Lie algebra gl(n). This is equivalent to describing the projective modules for the Schur algebra which are projective as modules for the restricted Lie algebra. We give an answer in terms of the "index of divisibility" of an injective polynomial module (this means the number of times the determinant module occurs as a tensor factor). We are able to give an explicit combinatorial description for n=2 and 3 but not in general.
(Joint work with H. Geranios)
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Date: |
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| Start Time: |
15:30 |
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Speaker: |
Steve Donkin (Univ. of York, UK)
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Institution: |
University of York, UK
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Place: |
Room 5.5 (DMUC)
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| Research Groups: |
-Algebra and Combinatorics
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See more:
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<Main>
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