6 papers
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…
From quantum groups to quantum cluster algebras
Changjian Fu, Haicheng Zhang
We provide a homomorphism of algebras from the quantum group to the corresponding quantum cluster algebra with principal coefficient…
Extriangulated factorization systems, -torsion pairs and recollements
Yan Xu, Haicheng Zhang, Zhiwei Zhu
We introduce extriangulated factorization systems in extriangulated categories and show that there exists a bijection between -torsion pairs and extriangulated factorization sys…
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…
A similarity canonical form for max-plus matrices and its eigenproblem
Haicheng Zhang, Xiyan Zhu
We provide a necessary and sufficient condition for matrices in the max-plus algebra to be pseudo-diagonalizable, calculate the powers of pseudo-diagonal matrices and prove the inv…
Analogue of Feigin's map on quantum group of split type
Ming Lu, Shiquan Ruan, Haicheng Zhang
The (universal) quantum groups are as a vast generalization of (Drinfeld double) quantum groups. We establish an algebra homomorphism from universal quantum group o…