scientific article; zbMATH DE number 2150997
From MaRDI portal
Publication:4660495
zbMath1103.16018arXivmath/0307082MaRDI QIDQ4660495
Paul Sherman, Andrei V. Zelevinsky
Publication date: 4 April 2005
Full work available at URL: https://arxiv.org/abs/math/0307082
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Newton polygonstotal positivitysemisimple algebraic groupscanonical basescluster algebrasaffine root systems
Representation theory for linear algebraic groups (20G05) Semisimple Lie groups and their representations (22E46) Simple, semisimple, reductive (super)algebras (17B20) Associative rings and algebras arising under various constructions (16S99)
Related Items
Bar-invariant bases of the quantum cluster algebra of type A 2 (2), Saturation of Newton polytopes of type A and D cluster variables, The existence of greedy bases in rank 2 quantum cluster algebras, Tensor diagrams and cluster algebras, Singularity confinement for maps with the Laurent property, Applications of BGP-reflection functors: isomorphisms of cluster algebras, Bases for cluster algebras from orbifolds, Cluster algebras arising from cluster tubes I: integer vectors, Friezes, Cluster algebras of type \(A\) \(_{{2}}^{{(1)}}\), Cluster expansion formulas and perfect matchings, An affine almost positive roots model, On cluster variables of rank two acyclic cluster algebras, Generic variables in acyclic cluster algebras, A quantum analogue of generic bases for affine cluster algebras., On indecomposable \(\tau\)-rigid modules for cluster-tilted algebras of tame type, Dominance regions for rank two cluster algebras, Quivers with subadditive labelings: classification and integrability, A combinatorial formula for rank 2 cluster variables, Recursive formulas for the Kronecker quantum cluster algebra with principal coefficients, Greedy bases in rank 2 quantum cluster algebras, ABHY Associahedra and Newton polytopes of F$F$‐polynomials for cluster algebras of simply laced finite type, Non-commutative integrability, paths and quasi-determinants, A homological interpretation of the transverse quiver Grassmannians, Integral bases of cluster algebras and representations of tame quivers., Greedy elements in rank 2 cluster algebras, $K$-theory of cluster $C^*$-algebras, Positivity and tameness in rank 2 cluster algebras, A graph theoretic expansion formula for cluster algebras of classical type, Relation between \(f\)-vectors and \(d\)-vectors in cluster algebras of finite type or rank 2, Atomic bases of quantum cluster algebras of type \(\widetilde{A}_{2 n - 1 , 1} \), The greedy basis equals the theta basis: A rank two haiku, Positivity for generalized cluster variables of affine quivers, Cluster multiplication theorem in the quantum cluster algebra of type \(A_2^{(2)}\) and the triangular basis, On cluster algebras arising from unpunctured surfaces. II, Bases of the quantum cluster algebra of the Kronecker quiver., Quiver varieties and cluster algebras, Denominators in cluster algebras of affine type., Quantum cluster algebras., Positivity for cluster algebras from surfaces, Quantized Chebyshev polynomials and cluster characters with coefficients, Moduli spaces of local systems and higher Teichmüller theory, Non-perturbative geometries for planar \(\mathcal{N} = 4\) SYM amplitudes, Stasheff polytopes and the coordinate ring of the cluster \(\mathcal X\)-variety of type \(A_n\), Quasi-homomorphisms of cluster algebras, In memoriam: Andrei Zelevinsky (1953--2013), Affine cluster monomials are generalized minors, Generators of rank 2 cluster algebras of affine types via linearization of seed mutations, Cluster algebraic interpretation of infinite friezes, K-theory of Jones polynomials, Automorphisms of cluster algebras of rank 2, From triangulated categories to cluster algebras II, Positivity for cluster algebras
