Mathematical Journal of Okayama University volume64 issue1

2022-01 発行

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 GL_{q} (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.