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ON IRREDUCIBILITY OF INDUCED MODULES AND AN ADAPTATION OF THE WIGNER-MACKEY METHOD OF LITTLE GROUPS
被引：1
|作者：
Venkataraman, Geetha
[1
]
机构：
[1] Ambedkar Univ Delhi, Sch Liberal Studies, Kashmere Gate Delhi 110006, India
关键词：
finite group;
semidirect product;
representations;
induced modules;
irreducibility;
D O I：
10.4134/JKMS.2013.50.6.1213
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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 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 char K does not divide I vertical bar G vertical bar but there is no assumption made of K being algebraically closed.
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页码：1213 / 1222
页数：10
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