Factorial cluster algebras

zbMath1275.13018arXiv1110.1199MaRDI QIDQ1946067

Jan Schröer, Bernard Leclerc, Christof Geiss

Publication date: 17 April 2013

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.1199

zbMATH Keywords

factorial ringsinvertible elementscluster algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Cluster algebras (13F60)

Related Items (17)

From quantum Ore extensions to quantum tori via noncommutative UFDs ⋮ Tensor diagrams and cluster algebras ⋮ Classification of singularities of cluster algebras of finite type: the case of trivial coefficients ⋮ On a category of cluster algebras ⋮ Newton-Okounkov bodies for categories of modules over quiver Hecke algebras ⋮ Cluster algebra structures on Poisson nilpotent algebras ⋮ Monoidal categorification and quantum affine algebras ⋮ The valuation pairing on an upper cluster algebra ⋮ Monoidal categorification and quantum affine algebras. II ⋮ A geometric q‐character formula for snake modules ⋮ Quantum cluster algebra structures on quantum nilpotent algebras ⋮ Quiver Grassmannians of Extended Dynkin type 𝐷 Part 1: Schubert Systems and Decompositions Into Affine Spaces ⋮ Laurent phenomenon and simple modules of quiver Hecke algebras ⋮ Monoidal Categorifications of Cluster Algebras of Type A and D ⋮ Quantum affine algebras and cluster algebras ⋮ Factoriality and class groups of cluster algebras ⋮ Monoidal categorification of cluster algebras

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