On homomorphisms into Weyl modules corresponding to partitions with two parts

IF 0.5 4区数学 Q3 MATHEMATICS

Glasgow Mathematical Journal Pub Date : 2021-07-25 DOI:10.1017/S0017089522000246

M. Maliakas, D. Stergiopoulou

引用次数: 2

Abstract

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.

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关于与具有两个部分的分区对应的Weyl模的同态

抽象设K是特征$p>0$的无限域，设$\lambda，\mu$是分区，其中$\mu$有两部分。我们在$p，\lambda，\mu$上找到了一般线性群$GL_n（K）$的Weyl模的非零同态$\Delta（\lambda）\to\Delta。此外，对于每个p，我们找到了相应的同态空间的维数至少为2的充分条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Glasgow Mathematical Journal 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Glasgow Mathematical Journal publishes original research papers in any branch of pure and applied mathematics. An international journal, its policy is to feature a wide variety of research areas, which in recent issues have included ring theory, group theory, functional analysis, combinatorics, differential equations, differential geometry, number theory, algebraic topology, and the application of such methods in applied mathematics. The journal has a web-based submission system for articles. For details of how to to upload your paper see GMJ - Online Submission Guidelines or go directly to the submission site.