Tensor diagrams and cluster algebras

DOI10.1016/j.aim.2016.03.030zbMath1386.13062arXiv1210.1888OpenAlexW2963568783WikidataQ105614986 ScholiaQ105614986MaRDI QIDQ304107

Pavlo Pylyavskyy, Fomin, Sergey

Publication date: 23 August 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.1888

zbMATH Keywords

invariant theorycluster algebratensor diagramweb basis

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Algebraic combinatorics (05E99) Actions of groups on commutative rings; invariant theory (13A50) Cluster algebras (13F60)

Related Items (23)

Cluster algebras, invariant theory, and Kronecker coefficients. II. ⋮ Dimers, webs, and positroids ⋮ Graded quantum cluster algebras and an application to quantum Grassmannians ⋮ Cyclic Demazure modules and positroid varieties ⋮ A web basis of invariant polynomials from noncrossing partitions ⋮ Tableau evacuation and webs ⋮ Dimers, webs, and local systems ⋮ Multiple generalized cluster structures on ⋮ Skein and cluster algebras of unpunctured surfaces for \({\mathfrak{sl}}_3\) ⋮ Webs on surfaces, rings of invariants, and clusters ⋮ Tropical Fock–Goncharov coordinates for -webs on surfaces I: construction ⋮ Webs and canonical bases in degree two ⋮ Quantum affine algebras and Grassmannians ⋮ From dimers to webs ⋮ Cluster algebras, invariant theory, and Kronecker coefficients. I ⋮ Cluster algebras and semi-invariant rings. II: Projections ⋮ Promotion on generalized oscillating tableaux and web rotation ⋮ Promotion on generalized oscillating tableaux and web rotation ⋮ Unnamed Item ⋮ Braid group symmetries of Grassmannian cluster algebras ⋮ Symbol alphabets from tensor diagrams ⋮ Tensor diagrams and cluster combinatorics at punctures ⋮ Combinatorial model for the cluster categories of type \(E\)

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