Central projective quaternionic representations
type: Item
instance of: scholarly article
title: Central projective quaternionic representations
zbMATH Open document ID: 0988.81044
DOI: 10.1063/1.1323496
author: Giuseppe Scolarici
author: Luigi Solombrino
published in: Journal of Mathematical Physics
publication date: 2001-07-30T00:00:00Z
Mathematics Subject Classification ID: 81R05
Mathematics Subject Classification ID: 20C35
zbMATH DE Number: 1626639
zbMATH Keywords: finite groups
zbMATH Keywords: ray representations
zbMATH Keywords: equivalences of representations
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1063/1.1323496
OpenAlex ID: W2073880059
cites work: Quaternionic Representations of Compact Groups
cites work: Notes on quaternionic group representations
cites work: Quaternionic representations of magnetic groups
cites work: Response to the Comment by G. Emch on projective group representations in quaternionic Hilbert space
cites work: On the structure of projective group representations in quaternionic Hilbert space
cites work: Projective group representations in quaternionic Hilbert space
review text: The authors approach the problem of classifying quaternionic projective representations of finite groups. Their study is based on a previous work by the same authors [Int. J. Theor. Phys. 34, 2491-2500 (1995; Zbl 0842.20016)] where it has been shown that the quaternionic projective representations of finite or compact groups fall into three classes: - types \({\mathbb R}, {\mathbb C}, {\mathbb Q}\) in their terminology. Here they prove first that there exists a one-to-one correspondence between the so called central projective quaternionic representations and the complex ones and then they prove that these representations can be identified with true representions of suitable extensions of the group under consideration.
reviewed by: Ivaïlo Mladenov
description: scientific article; zbMATH DE number 1626639