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ON IRREDUCIBILITY OF INDUCED MODULES AND AN ADAPTATION OF THE WIGNER-MACKEY METHOD OF LITTLE GROUPS
Venkataraman, Geetha Korean Mathematical Society 2013 대한수학회지 Vol.50 No.6
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 char $\mathbb{K}$ does not divide |G| but there is no assumption made of $\mathbb{K}$ being algebraically closed.
On irreducibility of induced modules and an adaptation of the Wigner--Mackey method of little groups
Geetha Venkataraman 대한수학회 2013 대한수학회지 Vol.50 No.6
This paper deals with sufficiency conditions for irreducibilityof certain induced modules. We also construct irreducible representationsfor a group G over a field K where the group G is a semidirect product ofa normal abelian subgroup N and a subgroup H. The main results areproved with the assumption that char K does not divide |G| but there isno assumption made of K being algebraically closed.