Book Review: Lecture notes on cluster algebras
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Publication:2797793
DOI10.1090/bull/1514zbMath1332.00028OpenAlexW2321411449MaRDI QIDQ2797793
Publication date: 31 March 2016
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/bull/1514
(n)-dimensional polytopes (52B11) Grassmannians, Schubert varieties, flag manifolds (14M15) Poisson algebras (17B63) Research exposition (monographs, survey articles) pertaining to commutative algebra (13-02) External book reviews (00A17) Cluster algebras (13F60) Root systems (17B22) Combinatorial aspects of commutative algebra (05E40)
Cites Work
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- Skew-symmetric cluster algebras of finite mutation type
- Snake graph calculus and cluster algebras from surfaces. II: Self-crossing snake graphs
- Quiver varieties and cluster algebras
- Positivity for cluster algebras from surfaces
- Cluster categories for algebras of global dimension 2 and quivers with potential.
- Cluster algebras and quantum affine algebras
- Cluster algebras and triangulated surfaces. I: Cluster complexes
- Cluster algebras. II: Finite type classification
- Cluster algebras and Weil-Petersson forms
- The periodicity conjecture for pairs of Dynkin diagrams
- Positivity for cluster algebras
- Greedy elements in rank 2 cluster algebras
- Snake graph calculus and cluster algebras from surfaces
- From triangulated categories to cluster algebras
- Cluster algebras as Hall algebras of quiver representations.
- Moduli spaces of local systems and higher Teichmüller theory
- Tilting theory and cluster combinatorics.
- Rigid modules over preprojective algebras.
- Cluster algebras I: Foundations
- On cluster algebras from unpunctured surfaces with one marked point
- Triangular Bases in Quantum Cluster Algebras
- Cluster algebras via cluster categories with infinite-dimensional morphism spaces
- Generic bases for cluster algebras and the Chamber Ansatz
- Canonical bases for cluster algebras
- GRASSMANNIANS AND CLUSTER ALGEBRAS
- Cluster-tilted algebras
- Canonical Bases Arising from Quantized Enveloping Algebras
- Quivers with potentials and their representations II: Applications to cluster algebras
- Bases for cluster algebras from surfaces
- Matrix Formulae and Skein Relations for Cluster Algebras from Surfaces
- -tilting theory
- Cluster-tilted algebras as trivial extensions
- Quivers with relations arising from clusters (𝐴_{𝑛} case)
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