| ID | 62800 |
| FullText URL | |
| Author |
Aokage, Kazuya
Department of Mathematics, National Institute of Technology, Ariake College
Tabata, Sumitaka
Department of Mathematics, Kumamoto University
Yamada, Hiro-Fumi
Department of Mathematics, Kumamoto University
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| Abstract | A quantum version of classical Sylvester-Franke theorem is presented. After reviewing some representation theory of the quantum group GLq (n, C), the commutation relations of the matrix elements are verified. Once quantum determinant of the representation matrix is defined, the theorem follows naturally
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| Keywords | Quantum general linear group
Sylvester-Franke theorem
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| Note | Mathematics Subject Classification. Primary 20G42; Secondary 81R50.
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| Published Date | 2022-01
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| Publication Title |
Mathematical Journal of Okayama University
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| Volume | volume64
|
| Issue | issue1
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| Publisher | Department of Mathematics, Faculty of Science, Okayama University
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| Start Page | 143
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| End Page | 151
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| ISSN | 0030-1566
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| NCID | AA00723502
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| Content Type |
Journal Article
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| language |
English
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| Copyright Holders | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University
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| File Version | publisher
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| Refereed |
True
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| Submission Path | mjou/vol64/iss1/9
|
