Free field realizations of certain modules for affine Lie algebra slˆ(n,C)

• Published in: Algebra and Discrete Mathematics
• Date: 2011
• Main Author: Martins, R.A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154768
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Free field realizations of certain modules for affine Lie algebra slˆ(n,C) / R.A. Martins // Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 1. — С. 28–52. — Бібліогр.: 15 назв. — англ.

For the affine Lie algebra slˆ(n,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 constructed in the paper exten...