Mathematical Journal of Okayama University 64巻 1号
2022-01 発行
Quantum Sylvester-Franke Theorem
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
Publication Date
2022-01
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
Keywords
Quantum general linear group
Sylvester-Franke theorem
Comments
Mathematics Subject Classification. Primary 20G42; Secondary 81R50.
ISSN
0030-1566
NCID
AA00723502
