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

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 $π(u) ≠ 0$.

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Bibliographic Details
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
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal