Positivity for quantum cluster algebras
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Publication:1698032
DOI10.4007/annals.2018.187.1.3zbMath1408.13055arXiv1601.07918OpenAlexW2964343623MaRDI QIDQ1698032
Publication date: 21 February 2018
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.07918
Representations of quivers and partially ordered sets (16G20) Cluster algebras (13F60) Connections of Hopf algebras with combinatorics (16T30)
Related Items (21)
Unfolding of sign-skew-symmetric cluster algebras and its applications to positivity and \(F\)-polynomials ⋮ The integrality conjecture and the cohomology of preprojective stacks ⋮ Unistructurality of cluster algebras ⋮ Donaldson-Thomas invariants from tropical disks ⋮ Quantization of deformed cluster Poisson varieties ⋮ Atomic bases of quantum cluster algebras of type \(\widetilde{A}_{2 n - 1 , 1} \) ⋮ Positivity for generalized cluster variables of affine quivers ⋮ A Correspondence between Rigid Modules Over Path Algebras and Simple Curves on Riemann Surfaces ⋮ Cluster multiplication theorem in the quantum cluster algebra of type \(A_2^{(2)}\) and the triangular basis ⋮ Laurent positivity of quantized canonical bases for quantum cluster varieties from surfaces ⋮ A quantum cluster algebra approach to representations of simply laced quantum affine algebras ⋮ An expansion formula for type \(A\) and Kronecker quantum cluster algebras ⋮ Strong positivity for quantum theta bases of quantum cluster algebras ⋮ An expansion formula for quantum cluster algebras from unpunctured triangulated surfaces ⋮ Toroidal Grothendieck rings and cluster algebras ⋮ Quantum Grothendieck rings as quantum cluster algebras ⋮ Synchronicity phenomenon in cluster patterns ⋮ The enough \(g\)-pairs property and denominator vectors of cluster algebras ⋮ Cohomological Donaldson-Thomas theory of a quiver with potential and quantum enveloping algebras ⋮ Positivity for quantum cluster algebras from unpunctured orbifolds ⋮ Theta bases are atomic
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