3 citations · 9 across the 12 of their papers we have counts for
13 papers
Geometric model for vector bundles via infinite marked strips
Jianmin Chen, Shiquan Ruan, Jinfeng Zhang
We present a geometric model for the category of vector bundles over the weighted projective line of type (2,2,n). This model is based on the orbit space of an infinite marked stri…
Geometric model for weighted projective lines of type
Jianmin Chen, Shiquan Ruan, Hongxia Zhang
We give a geometric model for the category of coherent sheaves over the weighted projective line of type in terms of an annulus with marked points on its boundary. We estab…
Frobenius-Perron theory of representation-directed algebras
J. M. Chen, J. Y. Chen
We study the Frobenius-Perron dimension of representation-directed algebras and quotient algebras of canonical algebras of type ADE, prove that the Frobenius-Perron dimension of a…
Admissible homomorphisms and equivariant relations between weighted projective lines
Jianmin Chen, Yanan Lin, Shiquan Ruan +1
The string group acts on the category of coherent sheaves over a weighted projective line by degree-shift actions. We study the equivariant equivalence relations induced by degree-…
Auslander's Theorem for group coactions on noetherian graded down-up algebras
J. Chen, E. Kirkman, J. J. Zhang
We prove a version of a theorem of Auslander for finite group coactions on noetherian graded down-up algebras.
Frobenius-Perron Theory of Endofunctors
Jianmin Chen, Zhibin Gao, Elizabeth Wicks +3
We introduce the Frobenius-Perron dimension of an endofunctor of a k-linear category and provide some applications.