Combinatorics of irreducible Gelfand-Tsetlin \(sl(3)\)-modules

• Date: 2018
• Main Author: Ramirez, Luis Enrique
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Gelfand-Tsetlin modules; weight modules; Gelfand-Tsetlin basis; 17B35; 17B37; 17B67; 16D60; 16D90; 16D70; 81R10
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/726
• Journal Title: Algebra and Discrete Mathematics

In this paper we present an explicit description of all irreducible \(\mathfrak{sl}(3)\)-modules which admit a Gelfand-Tsetlin tableaux realization with respect to the standard Gelfand-Tsetlin subalgebra.