4 citations · 12 across the 28 of their papers we have counts for
23 papers · 1 filter
From -tilting to -tilting via splitting tilting triples
Zhongyuan Wang, Haicheng Zhang, Tiwei Zhao
Let be a splitting tilting triple. We provide a construction of -tilting -modules from -tilting -modules. On the other hand, if is hereditary, by consid…
Silting subcategories and (co)torsion pairs associated to extended hearts
Liangwei Huang, Haicheng Zhang
We establish the poset isomorphisms between -term silting subcategories, functorially finite -torsion pairs in the -extended heart, and hereditary complete cotorsion p…
Extriangulated length categories: torsion classes and -tilting theory
Li Wang, Jiaqun Wei, Haicheng Zhang +1
This paper introduces the notion of extriangulated length categories, whose prototypical examples include abelian length categories and bounded derived categories of finite dimensi…
Cluster characters for 2-Calabi-Yau Frobenius extriangulated categories
Li Wang, Jiaqun Wei, Haicheng Zhang
We define the cluster characters for 2-Calabi-Yau Frobenius extriangulated categories with cluster tilting objects. This provides a unified framework of cluster characters in 2-Cal…
A Note on Odd Periodic derived Hall algebras
Haicheng Zhang, Xinran Zhang, Zhiwei Zhu
Let be an odd positive integer and be the -periodic derived category of a finitary hereditary abelian category . In this note, we prove tha…
Periodic derived Hall algebras of hereditary abelian categories
Haicheng Zhang
Let be a positive integer and be the -periodic derived category of a finitary hereditary abelian category . Applying the derived Hall numbe…
Hall algebras associated to root categories
Haicheng Zhang
Let be a finitary hereditary abelian category. We define a Hall algebra for the root category of by applying the derived Hall numbers of the bounded d…
Semibricks, torsion-free classes and the Jordan-Hölder property
Li Wang, Jiaqun Wei, Haicheng Zhang +1
Let be an extriangulated category and be a semibrick in . Let be the filtration subcategory generated by . We in…
Hall algebras of extriangulated categories
Li Wang, Jiaqun Wei, Haicheng Zhang
Recently, Nakaoka and Palu introduced a notion of extriangulated categories. This is a unification of exact categories and triangulated categories. In this paper, we generalize the…
The cluster multiplication theorem for acyclic quantum cluster algebras
Xueqing Chen, Ming Ding, Haicheng Zhang
Let be a finite acyclic valued quiver. We give the cluster multiplication formulas in the quantum cluster algebra of with arbitrary coefficients, by applying certain quotie…
Recollements of extriangulated categories
Li Wang, Jiaqun Wei, Haicheng Zhang
We give a simultaneous generalization of recollements of abelian categories and triangulated categories, which we call recollements of extriangulated categories. For a recollement…
Semibricks in extriangulated categories
Li Wang, Jiaqun Wei, Haicheng Zhang
Let be a semibrick in an extriangulated category . Let be the filtration subcategory generated by . We give a one-to-one corre…
Quantum cluster characters of Hall algebras revisited
Changjian Fu, Liangang Peng, Haicheng Zhang
Let be a finite acyclic valued quiver. We define a bialgebra structure and an integration map on the Hall algebra associated to the morphism category of projective representati…
Acyclic quantum cluster algebras via Hall algebras of morphisms
Ming Ding, Fan Xu, Haicheng Zhang
Let be the path algebra of a finite acyclic quiver over a finite field. We realize the quantum cluster algebra with principal coefficients associated to as a sub-quotie…
Drinfeld doubles via derived Hall algebras and Bridgeland Hall algebras
Fan Xu, Haicheng Zhang
Let $\A$ be a finitary hereditary abelian category. We give a Hall algebra presentation of Kashaev's theorem on the relation between Drinfeld double and Heisenberg double. As appli…
Toën's formula and Green's formula
Haicheng Zhang
Let be a finitary hereditary abelian category. In this note, we use the associativity of the derived Hall algebra associated to the bounded derived category of $\mat…
Minimal generators of Hall algebras of 1-cyclic perfect complexes
Haicheng Zhang
Let be the path algebra of a Dynkin quiver over a finite field, and let be the category of 1-cyclic complexes of projective -modules. In the present paper…
Multiplicative properties of certain elements in Bridgeland's Hall algebras
Qinghua Chen, Haicheng Zhang
Let be a finite dimensional algebra of finite global dimension over a finite field. In the present paper, we introduce certain elements in Bridgeland's Hall algebra of , and…
Lie algebras arising from 1-cyclic perfect complexes
Shiquan Ruan, Jie Sheng, Haicheng Zhang
Let be the path algebra of a Dynkin quiver over a finite field, and be the category of projective -modules. Denote by the category of 1-…
Bridgeland's Hall algebras and Heisenberg doubles
Haicheng Zhang
Let be a finite dimensional hereditary algebra over a finite field, and let be a fixed integer such that or . In the present paper, we first define an algebra $L…
Exceptional sequences and Drinfeld double Hall algebras
Shiquan Ruan, Haicheng Zhang
Let $\A$ be a finitary hereditary abelian category and $D(\A)$ be its reduced Drinfeld double Hall algebra. By giving explicit formulas in $D(\A)$ for left and right mutations, we…
A note on Bridgeland's Hall algebras
Haicheng Zhang
In this note, let $\A$ be a finitary hereditary abelian category with enough projectives. By using the associativity formula of Hall algebras, we give a new and simple proof of the…
On derived Hall numbers for tame quivers
Shiquan Ruan, Haicheng Zhang
In the present paper we study the derived Hall algebra for the bounded derived category of the nilpotent representations of a tame quiver over a finite field. We show that for any…