Tilting Modules in Truncated Categories

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2014
• Main Authors: Bennett, M., Bianchi, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146827
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Tilting Modules in Truncated Categories / M. Bennett, A. Bianchi // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 25 назв. — англ.

We begin the study of a tilting theory in certain truncated categories of modules G(Γ) for the current Lie algebra associated to a finite-dimensional complex simple Lie algebra, where Γ=P+×J, J is an interval in Z, and P+ is the set of dominant integral weights of the simple Lie algebra. We use this...