@article {44060, title = {
On homomorphisms into Weyl modules corresponding to partitions with
two parts
}, journal = {Glasgow Mathematical Journal}, volume = {65}, year = {2023}, pages = {272-283}, abstract = {Let $K$ be an infinite field of characteristic $p\>0$ and let $\lambda, \mu$ be partitions, where $\mu$ has two parts. We find sufficient arithmetic conditions on $p, \lambda, \mu$ for the existence of a nonzero homomorphism $\Delta(\lambda) \to \Delta (\mu)$ of Weyl modules for the general linear group $GL_n(K)$. Also for each $p$ we find sufficient conditions so that the corresponding homomorphism spaces have dimension at least 2.}, url = {https://www.cambridge.org/core/journals/glasgow-mathematical-journal/article/on-homomorphisms-into-weyl-modules-corresponding-to-partitions-with-two-parts/47D1CF80AD5143CE065F7178A8238D3D}, author = {M. Maliakas and D.-D. Stergiopoulou} }