论文标题
具有非还原根系的伪还原组的构造
A construction of pseudo-reductive groups with non-reduced root system
论文作者
论文摘要
我们描述了伪分割的直接结构,绝对是伪简单的最小型组,具有$ bc_n $类型的不可约根系统;这些仅在特征$ 2 $中存在。我们还为其不可还原模块的尺寸提供了一个公式。
We describe a straightforward construction of the pseudo-split absolutely pseudo-simple groups of minimal type with irreducible root systems of type $BC_n$; these exist only in characteristic $2$. We also give a formula for the dimensions of their irreducible modules.