Tuesday, July 31, 15:00, 7.527
Ren Wang (University of Science and Technology of China, Hefei),
The finite EI categories of Cartan type.
To each symmetrizable Cartan matrix, we associate a finite free EI
category. We prove that the corresponding category algebra is isomorphic to the
algebra defined in [C. Geiss, B. Leclerc, and J. Schröer, Quivers with
relations for symmetrizable Cartan matrices I: Foundations, Invent. Math. 209
(2017), 61-158], which is associated to another symmetrizable Cartan matrix.
This is joint work with Xiao-Wu Chen.