Abstract

This is the final part of the paper on the dimensions of Jordan blocks in the images of regular unipotent elements from subsystem subgroups of type \(C_2 \) in \(p\)-restricted irreducible representations of groups of type \(C_n\) in characteristic \(p\geq 11 \) with locally small highest weights. Here the case where \(n>3 \) and the restriction of a representation considered to a canonical subgroup of type \(A_1\) containing such element has a weight not less than \(p\), is investigated.

中文翻译：

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辛群不可约表示中秩为 $$2 $$ 的子系统辛子群的正则单能元图像的块结构。三

摘要

这是对约旦块在从类型的子系统子组定期单能元件的图像的尺寸的纸张的最后一部分\（C_2 \）在\（P \） -restricted类型的基团的不可约表示\（C_N \）在具有局部小的最高权重的特征 \(p\geq 11 \) 中。这里研究了\(n>3 \)和考虑到包含此类元素的\(A_1\)类型的规范子群的表示的限制权重不小于\(p\)的情况。