4 citations · 12 across the 28 of their papers we have counts for
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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…