Greedy bases in rank 2 quantum cluster algebras
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Publication:2962237
DOI10.1073/pnas.1313078111zbMath1355.13018arXiv1405.2311OpenAlexW2026628061WikidataQ33919512 ScholiaQ33919512MaRDI QIDQ2962237
Dylan Rupel, Li Li, Kyungyong Lee, Andrei V. Zelevinsky
Publication date: 16 February 2017
Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.2311
Related Items
The existence of greedy bases in rank 2 quantum cluster algebras, Nakajima's quiver varieties and triangular bases of rank-2 cluster algebras, Quantization of deformed cluster Poisson varieties, Cluster algebras, Cluster multiplication theorem in the quantum cluster algebra of type \(A_2^{(2)}\) and the triangular basis, Strong positivity for quantum theta bases of quantum cluster algebras, Compare triangular bases of acyclic quantum cluster algebras
Cites Work
- Unnamed Item
- Positivity and tameness in rank 2 cluster algebras
- Quiver varieties and cluster algebras
- Proof of the Kontsevich non-commutative cluster positivity conjecture.
- Cluster algebras. II: Finite type classification
- Bases of the quantum cluster algebra of the Kronecker quiver.
- Graded quiver varieties, quantum cluster algebras and dual canonical basis
- Greedy elements in rank 2 cluster algebras
- Quantum cluster algebras.
- Cluster algebras as Hall algebras of quiver representations.
- Cluster algebras I: Foundations
- Triangular Bases in Quantum Cluster Algebras
- Bar-invariant bases of the quantum cluster algebra of type A 2 (2)
- Quantum cluster variables via Serre polynomials
- On natural maps from strata of quiver Grassmannians to ordinary Grassmannians
- On a Quantum Analog of the Caldero-Chapoton Formula
- From triangulated categories to cluster algebras II
- Proof of a positivity conjecture of M. Kontsevich on non-commutative cluster variables
