Abstract

In the second part of the article, the investigation is continued of the block structure of the images of regular unipotent elements from subsystem subgroups of type \(C_2 \) in \(p\)-restricted irreducible representations of algebraic groups of type \(C_n\) in characteristic \(p>7 \) with locally small highest weights. In this part of the article, the solution of the problem on the dimensions of Jordan blocks of such images is completed for \(n=3 \) and for certain special representations of groups of arbitrary ranks.

中文翻译：

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辛群的不可约表示中秩为$$ 2 $$的子系统辛子群的规则单能元素图像的块结构。II

摘要

在所述制品的第二部分中，调查继续从类型的子系统子组定期单能元件的图像的块结构的\（C_2 \）在\（P \）型的代数群的-restricted不可约表示\（在特征 \（p> 7 \）中的C_n \）具有局部较小的最高权重。在本文的这一部分中，针对\（n = 3 \）和任意等级组的某些特殊表示形式，完成了此类图像的Jordan块尺寸问题的解决方案。