Unipotent Elements of Nonprime Order in Representations of the Classical Algebraic Groups: Two Big Jordan Blocks

被引：0

作者：

Suprunenko I.D. ^{[1
]}

机构：

[1] Institute of Mathematics, National Academy of Sciences of Belarus, Minsk

来源：

Journal of Mathematical Sciences | 2014年 / 199卷 / 3期

关键词：

Algebraic Group; Direct Summand; Composition Factor; Chevalley Group; Jordan Block;

D O I：

10.1007/s10958-014-1863-6

中图分类号：

学科分类号：

摘要：

For irreducible rational representations of the classical algebraic groups in characteristic p > 2, which are not equivalent to the composition of a group morphism and the standard representation, it is proved that usually the image of a unipotent element of order ps+1 > p has at least two Jordan blocks of size > ps; all exceptions are indicated explicitly. As a corollary, irreducible rational representations of these groups whose images contain unipotent elements with just one Jordan block of size > 1 are classified. © 2014 Springer Science+Business Media New York.

引用

页码：350 / 374

页数：24

共 32 条

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