2 citations · 9 across the 13 of their papers we have counts for
13 papers
Stability approach to torsion pairs on abelian categories
Mingfa Chen, Yanan Lin, Shiquan Ruan
In this paper we introduce a local-refinement procedure to investigate stability data on an abelian category, and provide a sufficient and necessary condition for a stability data…
New realization of quantum groups via -Hall algebras
Jiayi Chen, Yanan Lin, Shiquan Ruan
For an essentially small hereditary abelian category , we define a new kind of algebra , called the -Hall algebra of . The…
Derived equivalences between one-branch extensions of "rectangles"
Qiang Dong, Yanan Lin, Shiquan Ruan
In this paper we investigate the incidence algebras arising from one-branch extensions of "rectangles". There are four different ways to form such extensions, and all four kinds of…
The integral Schur-Weyl-Sergeev duality
Haixia Gu, Zhenhua Li, Yanan Lin
Degenerating the quantum queer Schur superalgebra to the case , the queer Schur superalgebra is obtained. In this article, we re…
Quantum queer supergroups via v-differential operators
Jie Du, Yanan Lin, Zhongguo Zhou
By using certain quantum differential operators, we construct a super representation for the quantum queer supergroup U_v(q_n). The underlying space of this representation is a def…
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-…
Polynomial super representations of the hyperalgebra of at roots of unity
Jie Du, Yanan Lin, Zhongguo Zhou
As a homomorphic image of the hyperalgebra associated with the quantum linear supergroup , we first give a presentation for the -…
On tubular tilting objects in the stable category of vector bundles
Jianmin Chen, Yanan Lin, Shiquan Ruan
The present paper focuses on the study of the stable category of vector bundles for the weighted projective lines of weight triple. We find some important triangles in this categor…
Prüfer sheaves and generic sheaves over the weighted projective lines and elliptic curves
Jianmin Chen, Jinjing Chen, Yanan Lin
In the present paper, we introduce the concepts of Prüfer sheaves and adic sheaves over a weighted projective line of genus one or an elliptic curve, show that Prüfer sheaves and a…
Tilting bundles and the "missing part" on the weighted projective line of type
Jianmin Chen, Yanan Lin, Shiquan Ruan
This paper classifies all the tilting bundles in the category of coherent sheaves on the weighted projective line of weight type , and investigates the abelianness of th…
Tilting objects on tubular weighted projective lines: a cluster tilting approach
Jianmin Chen, Yanan Lin, Pin Liu +1
Using cluster tilting theory, we investigate tilting objects in the stable category of vector bundles on a weighted projective line of weight type . More precisely, a…
Tilting objects in the stable category of vector bundles on the weighted projective line of type (2,2,2,2;λ)
Jianmin Chen, Yanan Lin, Shiquan Ruan
We construct a tilting object for the stable category of vector bundles on a weighted projective line X of type (2,2,2,2;λ), consisting of five rank two bundles and one rank three…
MVW-extensions of real quaternionic classical groups
Yanan Lin, Binyong Sun, Shaobin Tan
Let be a real quaternionic classical group $\GL_n(\bH)$, $\Sp(p,q)$ or $\oO^*(2n)$. We define an extension of with the following property: it contains as a s…