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

• Date: 2018
• Main Author: Martins, Renato A.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: 17B67; 81R10
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/672
• Journal Title: 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...