Large dimensional homomorphism spaces between Weyl modules and Specht   modules
  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. 
Sinead Lyle
math.RT