关于诱导模的不可约性和小群的Wigner-Mackey方法的改进
On irreducibility of induced modules and an adaptation of the Wigner--Mackey method of little groups
摘要：
本文讨论了某些诱导模不可约的充分条件。我们还构造了域${\mathbb K}$上群$G$的不可约表示，其中群$G$是正规交换子群$N$和子群$H$的半直积.主要结果在假设${\rm char} {\mathbb K}$不整除$|G|$但不假设${\mathbb K}$代数闭的条件下得到了证明.
英文摘要：
This paper deals with sufficiency conditions for irreducibility of certain induced modules. We also construct irreducible representations for a group $G$ over a field ${\mathbb K}$ where the group $G$ is a semidirect product of a normal abelian subgroup $N$ and a subgroup $H$. The main results are proved with the assumption that ${\rm char} {\mathbb K}$ does not divide $|G|$ but there is no assumption made of ${\mathbb K}$ being algebraically closed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
