4 citations · 6 across the 7 of their papers we have counts for
11 papers
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…
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…
Idempotent completion of extriangulated categories
Li Wang, Jiaqun Wei, Haicheng Zhang +1
Extriangulated categories were introduced by Nakaoka and Palu as a simultaneous generalization of exact categories and triangulated categories. In this paper, we show that the idem…
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…