Demazure Modules, Chari–Venkatesh Modules and Fusion Products

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2014
• ISSN: 1815-0659
• Main Author: Ravinder, B.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146400
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Demazure Modules, Chari–Venkatesh Modules and Fusion Products / B. Ravinder // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 10 назв. — англ.

Let g be a finite-dimensional complex simple Lie algebra with highest root θ. Given two non-negative integers m, n, we prove that the fusion product of m copies of the level one Demazure module D(1,θ) with n copies of the adjoint representation ev₀V(θ) is independent of the parameters and we give ex...