Cover Image

The Stanley-Stembridge Conjecture for $\bf 2 + 1 +1$-avoiding unit interval orders: a diagrammatic proof

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	McDonough, Joseph, Pylyavskyy, Pavlo, Wang, Shiyun
Format:	Preprint
Published:	2024
Subjects:	Combinatorics Representation Theory 05A05, 05E05, 05E10, 20C15
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A proof of the Stanley--Stembridge conjecture
by: Hikita, Tatsuyuki
Published: (2024)

Hook-Shape Immanant Characters from Stanley-Stembridge Characters
by: Lesnevich, Nathan R. T.
Published: (2023)

Weak Bruhat interval modules for genomic Schur functions
by: Kim, Young-Hun, et al.
Published: (2022)

A proof of the $q$-Foulkes conjecture for Gaussian coefficients when $a$ divides $c$
by: Gutiérrez, Álvaro, et al.
Published: (2025)

Further results for classical and universal characters twisted by roots of unity
by: Ayyer, Arvind, et al.
Published: (2024)

Universal characters twisted by roots of unity
by: Albion, Seamus P.
Published: (2022)

Monodromy in Kazhdan-Lusztig cells in affine type A
by: Chmutov, Michael, et al.
Published: (2017)

Skew symplectic and orthogonal characters through lattice paths
by: Albion, Seamus P., et al.
Published: (2023)

The sign character of the triagonal fermionic coinvariant ring
by: Lentfer, John
Published: (2025)

Bender-Knuth involutions for types B and C
by: Gutiérrez, Álvaro
Published: (2023)

0-Hecke modules for row-strict dual immaculate functions
by: Niese, Elizabeth, et al.
Published: (2022)

Character factorisations, $z$-asymmetric partitions and plethysm
by: Albion, Seamus
Published: (2025)

Quasisymmetric Schur $Q$-functions and peak Young quasisymmetric Schur functions
by: Choi, Seung-Il, et al.
Published: (2024)

Compatibility of Higher Specht Polynomials and Decompositions of Representations
by: Zemel, Shaul
Published: (2025)

0-Hecke Modules, Domino Tableaux, and Type-$B$ Quasisymmetric Functions
by: Defant, Colin, et al.
Published: (2024)

Generalized Higher Specht Polynomials and Homogeneous Representations of Symmetric Groups
by: Zemel, Shaul
Published: (2025)

Two stability theorems on plethysms of Schur functions
by: Paget, Rowena, et al.
Published: (2025)

On the Positivity of Dihedral Branching Coefficients of the Symmetric and Alternating Groups
by: S, Velmurugan
Published: (2025)

On Minimal Polynomials of Elements in Symmetric and Alternating Groups
by: S, Velmurugan
Published: (2024)

Minimal Polynomials in Spin Representations of Symmetric and Alternating Groups
by: Prasad, Amritanshu, et al.
Published: (2025)

Shuffle formula in science fiction for Macdonald polynomials
by: Kim, Donghyun, et al.
Published: (2023)

A weighted Murnaghan-Nakayama rule for $(P, w)$-partitions
by: Alexandersson, Per, et al.
Published: (2024)

A determinantal formula for orthosymplectic Schur functions
by: Kumari, Nishu
Published: (2024)

$q$-Whittaker polynomials: bases, branching and direct limits
by: Bhattacharya, Aritra, et al.
Published: (2024)

Equivalence classes of lower and upper descent weak Bruhat intervals
by: Choi, Seung-Il, et al.
Published: (2024)

Skew hook Schur functions and the cyclic sieving phenomenon
by: Kumari, Nishu
Published: (2022)

Toward Butler's conjecture
by: Kim, Donghyun, et al.
Published: (2022)

A new modular plethystic $\mathrm{SL}_2(\mathbb{F})$-isomorphism $\mathrm{Sym}^{N-1}E \otimes \bigwedge^{N+1} \mathrm{Sym}^{d+1}E \cong Δ^{(2,1^{N-1})} \mathrm{Sym}^d E$
by: Martinez, Alvaro L., et al.
Published: (2024)

On the action of the symmetric group on the free LAnKe: a question of Friedmann, Hanlon, Stanley and Wachs
by: Maliakas, Mihalis, et al.
Published: (2024)

Total trades, intersection matrices and Specht modules
by: Maliakas, Mihalis, et al.
Published: (2025)

On the free LAnKe on $3n-2$ generators: a theorem of Friedmann, Hanlon, Stanley and Wachs
by: Maliakas, Mihalis, et al.
Published: (2024)

Off-diagonally symmetric alternating sign matrices
by: Kumari, Nishu
Published: (2025)

Promotion and growth diagrams for fans of Dyck paths and vacillating tableaux
by: Pappe, Joseph, et al.
Published: (2022)

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

On the Shifted Littlewood-Richardson Coefficients and Littlewood-Richardson Coefficients
by: Duc, Khanh Nguyen
Published: (2020)

How large is the character degree sum compared to the character table sum for a finite group?
by: Ayyer, Arvind, et al.
Published: (2024)

Modular isomorphisms of $\mathrm{SL}_2(\mathbb{F})$-plethysms for Weyl modules labelled by hook partitions
by: Gutiérrez, Álvaro, et al.
Published: (2025)

A local characterization of crystals for the quantum queer superalgebra
by: Assaf, Sami, et al.
Published: (2018)

Smirnov words and the Delta Conjectures
by: Iraci, Alessandro, et al.
Published: (2023)

Study of $p$-Young tableaux, Robinson-Schensted correspondence and the lacunary Cauchy identity of group algebras $KG_{r}$ and $KSG_{r}$
by: Parvathi, M., et al.
Published: (2025)