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Alison Parker
University of Sydney
The homomorphisms between Weyl modules for SL_3
Friday 12th September, 12:05-12:55pm,
Carslaw 373.
In this talk I will show how A. G. Cox (City, London) and myself determine
all the homomorphisms between Weyl modules for SL_3(k) where
k is an algebraically closed field of characteristic at least three.
As a corollary of this result we obtain all the homomorphisms between
Specht modules for the symmetric group when the partitions have at most
three parts and the prime is at least five. We get most of the homomorphisms
when the prime is three.
We also obtain the result that the Hom spaces are always at most
one-dimensional in both cases.
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