Semi-Projective Representations and Twisted Representation Groups
Group Theory
2023-05-05 v2 Algebraic Geometry
Representation Theory
Abstract
A semi-projective representation is a homomorphism of a finite group into the group of semi-projective transformations of a finite dimensional vector space over a field. Schur's concept of a representation group for projective representations is extended to semi-projective representations under the assumption that the field is algebraically closed. A computer algorithm is given that produces, for a given finite group, all such twisted representation groups under trivial or conjugation actions on the field of complex numbers.
Cite
@article{arxiv.2211.14059,
title = {Semi-Projective Representations and Twisted Representation Groups},
author = {Massimiliano Alessandro and Christian Gleissner and Julia Kotonski},
journal= {arXiv preprint arXiv:2211.14059},
year = {2023}
}
Comments
10 pages, MAGMA code on personal homepage, simplified and final version (to appear in Communications in Algebra)