Acyclic quantum cluster algebras via Hall algebras of morphisms
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Publication:2205587
DOI10.1007/s00209-020-02465-0OpenAlexW3003256120MaRDI QIDQ2205587
Ming Ding, Haicheng Zhang, Fan Xu
Publication date: 21 October 2020
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.00864
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representations of quivers and partially ordered sets (16G20) Cluster algebras (13F60)
Related Items
Hall algebras associated to complexes of fixed size ⋮ Quantum cluster characters of Hall algebras revisited
Cites Work
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- On homomorphisms from Ringel-Hall algebras to quantum cluster algebras.
- Multiplicative properties of a quantum Caldero-Chapoton map associated to valued quivers.
- Quantum cluster characters of Hall algebras
- Derived Hall algebras
- Hall algebras associated to triangulated categories
- Hall algebras and quantum groups
- On crystal bases of the \(q\)-analogue of universal enveloping algebras
- Lie algebras generated by indecomposables
- Some Hall polynomials for representation-finite trivial extension algebras
- Semicanonical bases arising from enveloping algebras
- Almost split sequences for complexes of fixed size.
- On the double of the Hall algebra of a quiver
- A quantum analogue of generic bases for affine cluster algebras.
- Quantum groups via Hall algebras of complexes.
- Graded quiver varieties, quantum cluster algebras and dual canonical basis
- On sectional paths in a category of complexes of fixed size
- Triangular bases in quantum cluster algebras and monoidal categorification conjectures
- From triangulated categories to cluster algebras
- Quantum cluster algebras.
- Tilting theory and cluster combinatorics.
- Cluster algebras I: Foundations
- Quantum cluster variables via Serre polynomials
- Derived Hall Algebras and Lattice Algebras
- Quantum cluster characters for valued quivers
- The Category of Morphisms Between Projective Modules
- On a Quantum Analog of the Caldero-Chapoton Formula
- Cluster algebras IV: Coefficients
- Canonical Bases Arising from Quantized Enveloping Algebras
- Quivers, Perverse Sheaves, and Quantized Enveloping Algebras
- A note on Bridgeland Hall algebras
- Semi-Derived and Derived Hall Algebras for Stable Categories
- Semicanonical bases and preprojective algebras II: A multiplication formula