<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">M. Maliakas</style></author><author><style face="normal" font="default" size="100%">D.-D. Stergiopoulou</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">&lt;div&gt;On homomorphisms into Weyl modules corresponding to partitions with&lt;/div&gt;&lt;div&gt;&lt;span style=&quot;white-space: normal;&quot;&gt;two parts&lt;/span&gt;&lt;/div&gt;</style></title><secondary-title><style face="normal" font="default" size="100%">Glasgow Mathematical Journal</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2023</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://www.cambridge.org/core/journals/glasgow-mathematical-journal/article/on-homomorphisms-into-weyl-modules-corresponding-to-partitions-with-two-parts/47D1CF80AD5143CE065F7178A8238D3D</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">65</style></volume><pages><style face="normal" font="default" size="100%">272-283</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">Let $K$ be an infinite field of characteristic $p&amp;gt;0$ 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.</style></abstract></record></records></xml>