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

• Datum: 2018
• Hauptverfasser: Moura, Adriano, Pereira, Fernanda
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: minimal affinizations of quantum groups; character formulae; affine Kac-Moody algebras; 17B10; 17B70; 20G42
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/674
• Назва журналу: 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...