Modules with Demazure Flags and Character Formulae

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2014
• Main Authors: Chari, V., Schneider, L., Shereen, P., Wand, J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146820
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Modules with Demazure Flags and Character Formulae / V. Chari, L. Schneider, P. Shereen, J. Wand // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 16 назв. — англ.

In this paper we study a family of finite-dimensional graded representations of the current algebra of sl₂ which are indexed by partitions. We show that these representations admit a flag where the successive quotients are Demazure modules which occur in a level ℓ-integrable module for A₁¹ as long a...