Graded limits of minimal affinizations and beyond: the multiplicity free case for type \(E_6\)

• Date: 2018
• Main Authors: Moura, Adriano, Pereira, Fernanda
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: minimal affinizations of quantum groups; character formulae; affine Kac-Moody algebras; 17B10; 17B70; 20G42
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/674
• Journal Title: Algebra and Discrete Mathematics

We obtain a graded character formula for certain graded modules for the current algebra over a simple Lie algebra of type \(E_6\). For certain values of their highest weight, these modules were conjectured to be isomorphic to the classical limit of the corresponding minimal affinizations of the asso...