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

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

paper · pdf · doi:10.48550/arxiv.0908.0026

12 pages, No figures

arxiv created 2009/08/03 · arxiv updated 2009/12/01

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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