徐帆

2026

Explicit cluster multiplication formulas for the quantum cluster algebra of type <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"> <mml:msubsup> <mml:mrow> <mml:mi>A</mml:mi>

Journal of Algebra

DOI

2026

Enveloping algebras via motivic Hall algebras

Journal of Algebra

DOI

2026

On the acyclic quantum cluster algebras with principal coefficients

Science China Mathematics

DOI

2024

Quantum cluster variables via canonical submodules

Journal of Algebra

DOI

2024

Some properties of generalized cluster algebras of geometric type

Journal of Algebra

DOI

2023

A generalized quantum cluster algebra of Kronecker type

Electronic Research Archive

DOI

2022

Applications of spherical twist functors to Lie algebras associated to root categories of preprojective algebras

Journal of Algebra

DOI

2022

Atomic bases of quantum cluster algebras of type A˜2n−1,1

Journal of Algebra

DOI

2022

Generalized quantum cluster algebras: the Laurent phenomenon and upper bounds

Journal of Algebra

DOI

2021

Recursive formulas for the Kronecker quantum cluster algebra with principal coefficients

Science China Mathematics

DOI

2021

The Multiplication Formulas of Weighted Quantum Cluster Functions

Symmetry, Integrability and Geometry: Methods and Applications

DOI

2020

Drinfeld Doubles Via Derived Hall Algebras and Bridgeland’S Hall Algebras

Czechoslovak Mathematical Journal

DOI

2020

On the Generalized Cluster Algebras of Geometric Type

DOI

2019

Cluster multiplication theorem in the quantum cluster algebra of type A2(2) and the triangular basis

Journal of Algebra

DOI

2019

Acyclic quantum cluster algebras via Hall algebras of morphisms

Mathematische Zeitschrift

DOI

2018

On two Hall algebra approaches to odd periodic triangulated categories

DOI

2018

Ringel-Hall Algebras Beyond their Quantum Groups I: Restriction Functor and Green Formula

Algebras and Representation Theory

DOI

2018

The category of coherent sheaves over a weighted projective line and loop algebras

Scientia Sinica Mathematica

DOI

2017

A Quantum Analog of Generalized Cluster Algebras

Algebras and Representation Theory

DOI

2016

Positivity for Generalized Cluster Variables of Affine Quivers

Algebras and Representation Theory

DOI

2016

A quantum analogue of rank 2 generalized cluster algebras

2015

Realizing enveloping algebras via moduli stacks

DOI

2015

On Homomorphisms from Ringel-Hall Algebras to Quantum Cluster Algebras

Algebras and Representation Theory

DOI

2013

Some remarks on triangulated categories and Kac–Moody algebras

DOI

2012

Cluster characters for cyclic quivers

DOI

2012

Remarks on Hall algebras of triangulated categories

DOI

2012

Derived Hall Algebras and Lattice Algebras

DOI

2012

A quantum analogue of generic bases for affine cluster algebras

Science China Mathematics

DOI

2012

A ℤ-Basis for the Cluster Algebra of Type $\widetilde{D}_4$

DOI

2011

Hall Algebras of Odd Periodic Triangulated Categories

Algebras and Representation Theory

DOI

2011

Integral Bases of Cluster Algebras and Representations of Tame Quivers

Algebras and Representation Theory

DOI

2011

Bases of the quantum cluster algebra of the Kronecker quiver

Acta Mathematica Sinica. English series

DOI

2010

Bases of Quantum cluster algebra of type $\widetilde{A}^{(1)}_{1}$

2008

Green formula in Hall algebras and cluster algebras

DOI

2008

A multiplication formula for module subcategories of Ext-symmetry

DOI

2008

A Note on the Fundamental Group of a Triangular Algebra

DOI

2008

A multiplication formula for algebras with 2-Calabi-Yau properties

2007

三角范畴与无限维李代数的几何实现

《清华大学》

2007

Green’s Formula with ℂ*-Action and Caldero–Keller’s Formula for Cluster Algebras

DOI

2007

On triangulated categories and enveloping algebras

2007

On the cluster multiplication theorem for acyclic cluster algebras

DOI

2006

Realizing enveloping algebras via varieties of modules

DOI

2006

Hall algebra in a triangulated category

2006

Hall algebras associated to triangulated categories

DOI

2026

Deformation families of open Calabi-Yau manifolds and Steinness

arXiv preprint

2026

A refined multiplication formula in 2-Calabi-Yau Frobenius extriangulated categories

arXiv preprint

2025

Stability Conditions and Harder-Narasimhan Filtrations for Triangulated Categories

arXiv preprint

2025

Explicit cluster multiplication formulas for the quantum cluster algebra of type $A_2^{(1)}$

arXiv preprint

2025

Fundamental relations in quantum cluster algebras

arXiv preprint

2023

Motivic cluster multiplication formulas in 2-Calabi-Yau categories

arXiv preprint

2022

Quantum cluster algebras associated to weighted projective lines

arXiv preprint

2017

On purity theorem of Lusztig's perverse sheaves

arXiv preprint

2010

Notes on the cluster multiplication formulas for 2-Calabi-Yau categories

arXiv preprint

2010

The multiplication theorem and bases in finite and affine quantum cluster algebras

arXiv preprint

2008

A $\mathbb{Z}$-basis for the cluster algebra associated to an affine quiver

arXiv preprint

2007

Hall algebras associated to triangulated categories, II: almost associativity

arXiv preprint

2006

Derived Categories and Lie Algebras

arXiv (Cornell University)

DOI