Cover Image

Clusters, Coxeter-sortable elements and noncrossing partitions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Reading, Nathan
Format:	Preprint
Published:	2005
Subjects:	Combinatorics 20F55 (Primary) 05E15, 05A15 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Chains in the noncrossing partition lattice
by: Reading, Nathan
Published: (2007)

Noncrossing partitions, clusters and the Coxeter plane
by: Reading, Nathan
Published: (2009)

Symmetric noncrossing partitions of an annulus with double points
by: Reading, Nathan
Published: (2023)

Global patterns in signed permutations
by: Levens, Owen John, et al.
Published: (2025)

Parabolic Tamari Lattices in Linear Type B
by: Fang, Wenjie, et al.
Published: (2021)

On a Conjecture of Dyer on the Join in the Weak Order of a Coxeter group
by: Biagioli, Riccardo, et al.
Published: (2025)

Universal geometric cluster algebras
by: Reading, Nathan
Published: (2012)

From the Tamari lattice to Cambrian lattices and beyond
by: Reading, Nathan
Published: (2011)

Braid graphs in simply-laced triangle-free Coxeter systems are median
by: Barnes, Jillian, et al.
Published: (2024)

Dominance phenomena: mutation, scattering and cluster algebras
by: Reading, Nathan
Published: (2018)

Stirling numbers for complex reflection groups
by: Sagan, Bruce E, et al.
Published: (2024)

The Hopf algebra of diagonal rectangulations
by: Law, Shirley, et al.
Published: (2010)

On the number of commutation classes of the longest element in the symmetric group
by: Denoncourt, Hugh, et al.
Published: (2016)

Braid graphs in simply-laced triangle-free Coxeter systems are partial cubes
by: Awik, Fadi, et al.
Published: (2021)

Some open problems on Coxeter groups and unimodality
by: Brenti, Francesco
Published: (2024)

Coxeter arrangements in three dimensions
by: Ehrenborg, Richard, et al.
Published: (2015)

A combinatorial approach to scattering diagrams
by: Reading, Nathan
Published: (2018)

On the structure of the d-indivisible noncrossing partition posets
by: Ehrenborg, Richard, et al.
Published: (2024)

Hyperoctahedral group characters and a type-BC analog of graph coloring
by: Skandera, Mark
Published: (2024)

Elementary symmetric polynomials under the fixed point measure
by: Khaitan, Ayush, et al.
Published: (2025)

Positive $m$-divisible non-crossing partitions and their Kreweras maps
by: Krattenthaler, Christian, et al.
Published: (2025)

Shi arrangements and low elements in affine Coxeter groups
by: Chapelier-Laget, Nathan, et al.
Published: (2022)

Rationality of the multivariate growth series for algebraic sets of virtually abelian groups
by: Nakamura, Yusuke
Published: (2024)

Elementary symmetric partitions
by: Ballantine, Cristina, et al.
Published: (2024)

Pattern expansions of permutation statistics
by: Cavey, Ian, et al.
Published: (2026)

Factorization problems in complex reflection groups
by: Lewis, Joel Brewster, et al.
Published: (2019)

Commutation classes of reduced words and higher Bruhat orders for affine permutations
by: Billey, Sara, et al.
Published: (2026)

Polysymmetric functions and motivic measures of configuration spaces
by: G, Asvin, et al.
Published: (2022)

Sign-twisted generating functions of the odd length for Weyl groups of type $D$
by: Gu, Haihang, et al.
Published: (2023)

Boolean intervals in the weak Bruhat order of a finite Coxeter group
by: Adenbaum, Ben, et al.
Published: (2024)

A Shifted Parking Function Symmetric Function
by: Stanley, Richard P.
Published: (2024)

Some conjectures on the Schur expansion of Jack polynomials
by: Alexandersson, Per, et al.
Published: (2018)

The strong hull property for affine irreducible Coxeter groups of rank 3
by: Liu, Ziming
Published: (2025)

Noncrossing partitions of an annulus
by: Brestensky, Laura G., et al.
Published: (2022)

Refined enumeration of two-rowed set-valued standard tableaux via two-coloured Motzkin paths
by: Krattenthaler, Christian
Published: (2025)

On the Cyclically Fully Commutative Elements of Coxeter Groups
by: Boothby, Tomas, et al.
Published: (2012)

Normal Reflection Subgroups of Complex Reflection Groups
by: Arreche, Carlos E., et al.
Published: (2020)

Universal series for dihedral group coinvariant rings
by: Lentfer, John
Published: (2025)

A geometric and generating function approach to plethysm
by: Gutiérrez, Álvaro, et al.
Published: (2025)

Two-sided permutation statistics via symmetric functions
by: Gessel, Ira M., et al.
Published: (2023)