Lie Theory: "Tilting modules in affine higest weight categorie"
Dr. Ryo Fujita, Kyoto University, Japan
Tuesday, March 7, 2017
1–2 p.m.
Location: Surge Building 284
Parking Information
Category: Seminar
Description: Affine highest weight category, introduced by Kleshchev, is a generalization of the notion of highest weight category. For example, some module categories over central completions of (degenerate) affine Hecke algebras (more generally KLR algebras of finite type) and polynomial current Lie algebras are known to be affine highest weight. In this talk, we consider tilting modules in affine highest weight categories and explain that a complete collection of indecomposable tilting modules exists if our category has a large center. As an application, we gives a simple criterion for an exact functor between two affine highest weight categories to give an equivalence. We can apply this criterion to the ArakawaSuzuki functor on the deformed category O for gl_{m}.
Additional Information: Lie Theory Seminar
Open to: General Public
Admission: Free
Sponsor: Mathematics
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