10 citations · 23 across the 8 of their papers we have counts for
8 papers
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 …
Quantized cohomological Hall algebra of the -loop quiver revisited
Neil J. Y. Fan, Changjian Fu, Liangang Peng
Let be the set of partitions of length . We introduce an -graded algebra associated to , which can be viewed as a quantization of the…
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…
Quantum dilogarithm identities and cyclic quivers
Changjian Fu, Liangang Peng
We study quantum dilogarithm identities for cyclic quivers following Reineke's idea via Ringel-Hall algebra approach. For any given discrete stability function for the cyclic quive…
Symmetrizable intersection matrices and their root systems
Liangang Peng, Mang Xu
In this paper we study symmetrizable intersection matrices, namely generalized intersection matrices introduced by P. Slodowy such that they are symmetrizable. Every such matrix ca…