论文标题

关于涉及钩Weyl模块的同态

On homomorphisms involving a hook Weyl module

论文作者

Maliakas, Mihalis, Stergiopoulou, Dimitra-Dionysia

论文摘要

让$ k $成为一个积极特征的无限领域。我们确定$ gln(k)$的Weyl模块之间的所有同构,其中一个分区是钩子。结果,当分区之一是钩子时,我们获得了B,C和D代数组的Weyl模块之间的同构结果的不变结果。

Let $k$ be an infinite field of positive characteristic. We determine all homomorphisms between Weyl modules for $GLn(k)$, where one of the partitions is a hook. As a consequence we obtain a nonvanishing result concerning homomorphisms between Weyl modules for algebraic groups of type B, C and D when one of the partitions is a hook.

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