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math.RT2018
The finite EI categories of Cartan type
Xiao-Wu Chen, Ren Wang
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.…
math.RT2018
The spectrum of the singularity category of a category algebra
Ren Wang
Let $\C$ be a finite projective EI category and be a field. The singularity category of the category algebra $k\C$ is a tensor triangulated category. We compute its spectrum in…