Geodesic
On homomorphisms into Weyl modules corresponding to partitions with two parts
Glasgow mathematical journal, Tome 65 (2023) no. 2, pp. 272-283

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DOI

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.
DOI : 10.1017/S0017089522000246
Mots-clés : Weyl modules, general linear group, homomorphisms, Specht modules 
Maliakas, Mihalis; Stergiopoulou, Dimitra-Dionysia. On homomorphisms into Weyl modules corresponding to partitions with two parts. Glasgow mathematical journal, Tome 65 (2023) no. 2, pp. 272-283. doi: 10.1017/S0017089522000246
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     title = {On homomorphisms into {Weyl} modules corresponding to partitions with two parts},
     journal = {Glasgow mathematical journal},
     pages = {272--283},
     year = {2023},
     volume = {65},
     number = {2},
     doi = {10.1017/S0017089522000246},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089522000246/}
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