Some properties of the commutators of special linear quantum groups

• Date: 2024
• Main Author: Atteya, Mehsin Jabel
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2024
• Subjects: Hopf algebra; complex simple Lie algebra; quantized enveloping algebra; 16T20; 17B37; 20C08; 20C33; 20G43.
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1958
• Journal Title: Algebra and Discrete Mathematics

This article is interested to a detailed computation of the commutators of the Hopf algebra \(U_q(sl(n))\).  It can be treated as a second way to computation the brackets of the Hopf algebra  \(U_q(sl(n))\) which could be introducing and understanding the \(U_q(sl(n))\) for the researchers.