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Multiplicative properties of a quantum . . . (2011)
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by Ming Ding , Jie Sheng
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Citations
171
From triangulated categories to cluster algebras
- Caldero, Keller
135
Cluster algebras as Hall algebras of quiver representations
- Caldero, Chapoton
129
Tilting theory and cluster combinatorics
- Buan, Marsh, et al. - 2006
111
algebras, hereditary algebras and quantum groups
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71
Quantum cluster algebras
- Berenstein, Zelevinsky
34
Quantum cluster variables via Serre polynomials
- Qin
31
Acyclic cluster algebras via Ringel-Hall algebras, Preprint available at the author’s home
- Hubery
23
Fomin S., Zelevinsky A. Cluster Algebras III: Upper bounds and double Bruhat cells
- Berenstein - 2005
23
A quantum cluster algebra of Kronecker type and the dual canonical basis
- Lampe
21
Generic bases for cluster algebras and the Chamber Ansatz
- Geiss, Leclerc, et al.
15
On quantum analogue of the Caldero-Chapoton formula
- Rupel
14
Integral bases of cluster algebras and representations of tame quivers. arXiv:0901.1937v1 [math.RT
- Ding, Xiao, et al. - 2009
12
Quantum cluster algebra structures on quantum Grassmannians and their quantum Schubert cells: the finite-type cases
- Grabowski, Launois
6
Bases of the quantum cluster algebra of the Kronecker quiver, arXiv: 1004.2349v4[math.RT
- Ding, Xu
5
Kac-moody groups and cluster algebras. arXiv:1001.3545v1 [math.RT
- Geiss, Leclerc, et al. - 2010
3
On quantum cluster algebras of finite type
- Ding
3
The multiplication theorem and bases in finite and affine quantum cluster algebras
- Ding, Xu