9 citations · 14 across the 6 of their papers we have counts for
6 papers
A recollement approach to Han's conjecture
Ren Wang, Xiaoxiao Xu, Jinbi Zhang +1
A conjecture due to Y. Han asks whether that Hochschild homology groups of a finite dimensional algebra vanish for sufficiently large degrees would imply that the algebra is of fin…
Skew group categories, algebras associated to Cartan matrices and folding of root lattices
Xiao-Wu Chen, Ren Wang
For a finite group action on a finite EI quiver, we construct its `orbifold' quotient EI quiver. The free EI category associated to the quotient EI quiver is equivalent to the skew…
Singular equivalences and Auslander-Reiten conjecture
Yiping Chen, Wei Hu, Yongyun Qin +1
Auslander-Reiten conjecture, which says that an Artin algebra does not have any non-projective generator with vanishing self-extensions in all positive degrees, is shown to be inva…
Singular equivalences induced by bimodules and quadratic monomial algebras
Xiao-Wu Chen, Jian Liu, Ren Wang
We investigate the problem when the tensor functor by a bimodule yields a singular equivalence. It turns out that this problem is equivalent to the one when the Hom functor given b…
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.…
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…