Ren Wang (University of Science and Technology of China, Hefei), The finite EI categories of Cartan type.

Abstract:

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.