Homomorphisms between Weyl modules for SL_3(k)
Anton Cox and Alison Parker
We classify all homomorphisms between Weyl modules for
SL3(k) when k is an algebraically
closed field of characteristic at least three, and show that the
Hom-spaces are all at most one-dimensional. As a corollary we
obtain all homomorphisms between Specht modules for the
symmetric group when the labelling partitions have at most three
parts and the prime is at least three. We conclude by showing
how a result of Fayers and Lyle on Hom-spaces for Specht modules
is related to earlier work of Donkin for algebraic groups.
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|Friday, September 24, 2004