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arXiv · 2211.14059

Semi-Projective Representations and Twisted Representation Groups

Massimiliano Alessandro·Christian Gleissner·Julia Kotonski
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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.

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Massimiliano Alessandro, Christian Gleissner, Julia Kotonski. 2022-11-25. Semi-Projective Representations and Twisted Representation Groups. https://arxiv.org/abs/2211.14059

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