Realizations of affine Lie algebras

• Published in: Algebra and Discrete Mathematics
• Date: 2005
• Main Author: Futorny, V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156588
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Realizations of affine Lie algebras / V. Futorny // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 1. — С. 30–46. — Бібліогр.: 25 назв. — англ.

This is an expository paper on some realizations
 of affine Lie algebras and their representations in terms of differential operators. In particular we recall the classical construction
 of Wakimoto modules and its recent generalization - Intermediate
 Wakimoto modules [CF].