The Harish-Chandra theorem for the quantum algebra $u_q (\text{sl} (3))$

• Date: 1993
• Main Authors: Guzner, B. Z., Гузнер, Б. 3.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1993
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5827
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

A basis of a quantum universal enveloping algebra $U$ is constructed; the following theorem is proved with the help of this basis: For any nonzero element $Μ ∃ U$, there exists a finite-dimensional representation $π$ such that $π(u) ≠ 0$.