On homomorphisms into Weyl modules corresponding to partitions with two parts
نویسندگان
چکیده
Abstract Let K be an infinite field of characteristic $p>0$ and let $\lambda, \mu$ partitions, where $\mu$ has two parts. We find sufficient arithmetic conditions on $p, \lambda, for the existence a nonzero homomorphism $\Delta(\lambda) \to \Delta (\mu)$ Weyl modules general linear group $GL_n(K)$ . Also, each p we so that corresponding spaces have dimension at least 2.
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 2022
ISSN: ['0017-0895', '1469-509X']
DOI: https://doi.org/10.1017/s0017089522000246