Fan Xu

Available identifiers

List of research outcomes

Publication	Date of Publication	Type
A generalized quantum cluster algebra of Kronecker type	2023-04-03	Paper
Generalized quantum cluster algebras: the Laurent phenomenon and upper bounds	2023-02-01	Paper
Quantum cluster algebras associated to weighted projective lines	2022-07-06	Paper
The category of coherent sheaves over a weighted projective line and loop algebras	2022-03-21	Paper
Generalized quantum cluster algebras: the Laurent phenomenon and upper bounds	2022-03-14	Paper
Applications of spherical twist functors to Lie algebras associated to root categories of preprojective algebras	2022-01-19	Paper
Atomic bases of quantum cluster algebras of type $\widetilde{A}_{2 n - 1 , 1} $	2021-11-04	Paper
Drinfeld doubles via derived Hall algebras and Bridgeland's Hall algebras	2021-04-13	Paper
On the generalized cluster algebras of geometric type	2021-01-21	Paper
Acyclic quantum cluster algebras via Hall algebras of morphisms	2020-10-21	Paper
Ringel-Hall algebras beyond their quantum groups. I: Restriction functor and Green formula	2019-12-17	Paper
Cluster multiplication theorem in the quantum cluster algebra of type $A_2^{(2)}$ and the triangular basis	2019-06-27	Paper
A quantum analog of generalized cluster algebras	2019-03-27	Paper
Acyclic quantum cluster algebras via Hall algebras of morphisms	2019-03-03	Paper
Drinfeld doubles via derived Hall algebras and Bridgeland Hall algebras	2019-01-01	Paper
On two Hall algebra approaches to odd periodic triangulated categories	2018-03-16	Paper
On purity theorem of Lusztig's perverse sheaves	2017-12-12	Paper
Positivity for generalized cluster variables of affine quivers	2017-03-07	Paper
Realizing enveloping algebras via moduli stacks	2016-11-22	Paper
On homomorphisms from Ringel-Hall algebras to quantum cluster algebras.	2016-04-06	Paper
Remarks on Hall algebras of triangulated categories	2015-07-10	Paper
Some remarks on triangulated categories and Kac-Moody algebras	2014-03-07	Paper
A ℤ-Basis for the Cluster Algebra of Type $\widetilde{D}_4$	2013-11-07	Paper
Hall algebras of odd periodic triangulated categories.	2013-06-13	Paper
Integral bases of cluster algebras and representations of tame quivers.	2013-05-13	Paper
A quantum analogue of generic bases for affine cluster algebras.	2013-01-28	Paper
Bases of the quantum cluster algebra of the Kronecker quiver.	2012-11-07	Paper
Cluster characters for cyclic quivers.	2012-11-07	Paper
Derived Hall Algebras and Lattice Algebras	2012-08-29	Paper
Green’s Formula with ℂ*-Action and Caldero–Keller’s Formula for Cluster Algebras	2011-07-13	Paper
Green formula in Hall algebras and cluster algebras	2011-02-18	Paper
https://portal.mardi4nfdi.de/entity/Q4930636	2010-10-01	Paper
The multiplication theorem and bases in finite and affine quantum cluster algebras	2010-06-20	Paper
On the cluster multiplication theorem for acyclic cluster algebras	2010-03-08	Paper
Realizing enveloping algebras via varieties of modules	2010-02-26	Paper
Notes on the cluster multiplication formulas for 2-Calabi-Yau categories	2010-01-25	Paper
A multiplication formula for module subcategories of Ext-symmetry	2009-07-23	Paper
A Note on the Fundamental Group of a Triangular Algebra	2008-09-29	Paper
Hall algebras associated to triangulated categories	2008-06-20	Paper
Hall algebras associated to triangulated categories, II: almost associativity	2007-10-30	Paper
Derived Categories and Lie Algebras	2006-04-26	Paper
Derived category and Lie algebras	2006-04-26	Paper

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