Groups with faithful irreducible projective unitary representations
Group Theory
2015-02-04 v1
Abstract
For a countable group G and a multiplier c on G with values in the circle, we study the property of G having a unitary projective c-representation which is both irreducible and projectively faithful. We show that this property is equivalent to G being the quotient of an appropriate group by its centre. A criterion is given in terms of the minisocle of G. Several examples are described to show the existence of various behaviours.
Cite
@article{arxiv.1009.4379,
title = {Groups with faithful irreducible projective unitary representations},
author = {Bachir Bekka and Pierre de la Harpe},
journal= {arXiv preprint arXiv:1009.4379},
year = {2015}
}
Comments
27 pages