Cluster algebras and representation theory

zbMath1293.05388arXiv1009.4552MaRDI QIDQ3096704

Bernard Leclerc

Publication date: 11 November 2011

Full work available at URL: https://arxiv.org/abs/1009.4552

zbMATH Keywords

quantum affine algebracluster algebrapreprojective algebracanonical and semicanonical basis

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Endomorphism rings; matrix rings (16S50) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Group rings (16S34) Representations of quivers and partially ordered sets (16G20) Cluster algebras (13F60)

Related Items (17)

Cluster algebras and snake modules ⋮ Tensor diagrams and cluster algebras ⋮ Classification of singularities of cluster algebras of finite type: the case of trivial coefficients ⋮ Stable maps, Q-operators and category 𝒪 ⋮ Cluster automorphism groups of cluster algebras with coefficients ⋮ Modular Fuss-Catalan numbers ⋮ Cluster algebra structures on Poisson nilpotent algebras ⋮ The formal model of semi-infinite flag manifolds ⋮ Cluster automorphism groups of cluster algebras of finite type ⋮ Webs on surfaces, rings of invariants, and clusters ⋮ HYPERBOLIC 3-MANIFOLDS AND CLUSTER ALGEBRAS ⋮ The valuation pairing on an upper cluster algebra ⋮ Monoidal categorification and quantum affine algebras. II ⋮ Recovering the topology of surfaces from cluster algebras ⋮ Weyl group action and semicanonical bases ⋮ A geometric q‐character formula for snake modules ⋮ Cluster varieties from Legendrian knots

This page was built for publication: Cluster algebras and representation theory