Central projective quaternionic representations (Q2731841): Difference between revisions
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scientific article | scientific article; zbMATH DE number 1626639 | ||
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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. | |||
| Property / 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. / rank | |||
Normal rank | |||
| Property / reviewed by | |||
| Property / reviewed by: Ivaïlo Mladenov / rank | |||
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Latest revision as of 09:25, 19 May 2025
scientific article; zbMATH DE number 1626639
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Central projective quaternionic representations |
scientific article; zbMATH DE number 1626639 |
Statements
Central projective quaternionic representations (English)
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30 July 2001
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finite groups
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ray representations
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equivalences of representations
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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.
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