Large dimensional homomorphism spaces between Weyl modules and Specht modules

Mathematics – Representation Theory

Scientific paper

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10 pages

Scientific paper

We give a family of pairs of Weyl modules for which the corresponding
homomorphism space is at least 2-dimensional. Using this result we show that
for fixed parameters $e>0$ and $p\geq 0$ there exist arbitrarily large
homomorphism spaces between pairs of Weyl modules.

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