10 citations · 23 across the 8 of their papers we have counts for
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Semi-derived Ringel-Hall algebras and Hall algebras of odd-periodic relative derived categories
Ji Lin, Liangang Peng
Let be a positive integer and a hereditary abelian category satisfying some finiteness conditions. We define the semi-derived Ringel-Hall algebra of …
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…
Modified Ringel-Hall Algebras, Green's formula and Derived Hall Algebras
Ji Lin, Liangang Peng
In this paper we define the modified Ringel-Hall algebra $\cm\ch(\ca)$ of a hereditary abelian category $\ca$ from the category of bounded -graded co…
Semi-derived Ringel-Hall algebras and Drinfeld double
Ming Lu, Liangang Peng
Let be an arbitrary hereditary abelian category that may not have enough projective objects. For example, can be the category of finite-dimensional repr…
The Bridgeland's Ringel-Hall algebra associated to an algebra with global dimension at most two
Shengfei Geng, Liangang Peng
For any finitely dimensional associative algebra with global dimension , we show that there is an embedding from the twisted Ringel-Hall algebra to the Brigeland's Ringel-H…