Classification of irreducible non-dense modules for \(A_{2}^{\left(2\right)}\)

• Date: 2018
• Main Author: Bunke, Thomas
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: affine Kac-Moody algebra; weight module; support; irreducible module; 17B67; 17B65
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/774
• Journal Title: Algebra and Discrete Mathematics

We obtain a classification of the supports of irreducible \(A_{2}^{\left(2\right)}\)-modules. In particular, we get a classification of all non-dense irreducible \(A_{2}^{\left(2\right)}\)-modules with at least one finite-dimensional weight subspace.