On irreducibility of induced modules and an adaptation of the Wigner--Mackey method of little groups

2009/08/03 by Venkataraman, Geetha
#20C #20D #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.0908.0026

Abstract

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.

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