Free field realizations of certain modules for affine Lie algebra \(\widehat{sl}(n,\mathbb{C})\)

• Datum: 2018
• 1. Verfasser: Martins, Renato A.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: 17B67; 81R10
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/672
• Назва журналу: Algebra and Discrete Mathematics

For the affine Lie algebra \(\widehat{sl} (n,{\mathbb{C}})\) we study a realization in terms of infinite sums of partial differential operators of a family of representations introduced in [BBFK]. These  representations generalize a construction of Imaginary Verma modules [F1]. The realization const...