Subword complexes, cluster complexes, and generalized multi-associahedra
DOI10.1007/s10801-013-0437-xzbMath1286.05180arXiv1108.1776OpenAlexW3103222381MaRDI QIDQ2441569
Christian Stump, Cesar Ceballos, Jean-Philippe Labbé
Publication date: 25 March 2014
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1108.1776
Auslander-Reiten quiversubword complexcluster complexmulti-triangulationCoxeter-Catalan combinatoricsgeneralized associahedron
(n)-dimensional polytopes (52B11) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Dissections and valuations (Hilbert's third problem, etc.) (52B45)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Associahedra, Tamari lattices and related structures. Tamari memorial Festschrift
- The brick polytope of a sorting network
- Maximal fillings of Moon polyominoes, simplicial complexes, and Schubert polynomials
- Multitriangulations, pseudotriangulations and primitive sorting networks
- A new perspective on \(k\)-triangulations
- Increasing and decreasing sequences in fillings of moon polyominoes
- Permutahedra and generalized associahedra.
- The enumeration of Coxeter elements
- Gröbner geometry of Schubert polynomials
- Growth diagrams, and increasing and decreasing chains in fillings of Ferrers shapes
- A spherical initial ideal for Pfaffians
- Exceptional sequences and clusters. (With an appendix with Hugh Thomas).
- Sortable elements and Cambrian lattices.
- Conjugacy of Coxeter elements.
- Cambrian fans.
- Multitriangulations as complexes of star polygons
- Type-B generalized triangulations and determinantal ideals
- On commutation classes of reduced words in Weyl groups
- A type-B associahedron.
- \(Y\)-systems and generalized associahedra
- Auslander-Reiten quivers and the Coxeter complex.
- The associahedron and triangulations of the \(n\)-gon
- Subword complexes in Coxeter groups.
- On line arrangements in the hyperbolic plane
- The cyclic sieving phenomenon
- Realization of the Stasheff polytope
- A generalization of diagonal flips in a convex polygon
- Brick polytopes of spherical subword complexes and generalized associahedra
- Realizations of the associahedron and cyclohedron
- Words with intervening neighbours in infinite Coxeter groups are reduced.
- Many non-equivalent realizations of the associahedron
- Discriminants, resultants, and multidimensional determinants
- The cyclic sieving phenomenon for faces of generalized cluster complexes
- Tilting theory and cluster combinatorics.
- Cambrian lattices.
- Generalized triangulations and diagonal-free subsets of stack polyominoes
- Isometry classes of generalized associahedra
- Combinatorics of Coxeter Groups
- Cluster algebras, quiver representations and triangulated categories
- Sortable elements in infinite Coxeter groups
- h-vectors of generalized associahedra and noncrossing partitions
- Clusters, Coxeter-sortable elements and noncrossing partitions
- Powers of Coxeter elements in infinite groups are reduced
- Generalized noncrossing partitions and combinatorics of Coxeter groups
- Representation theory of artin algebras iii almost split sequences
- Lectures on Polytopes
- Generalized associahedra via quiver representations
- Polytopal Realizations of Generalized Associahedra
- Non-crossing partition lattices in finite real reflection groups
This page was built for publication: Subword complexes, cluster complexes, and generalized multi-associahedra