Cover Image

A proof of the Stanley--Stembridge conjecture

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Hikita, Tatsuyuki
Format:	Preprint
Published:	2024
Subjects:	Combinatorics Representation Theory 05C15, 05C30, 05E05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The Stanley-Stembridge Conjecture for $\bf 2 + 1 +1$-avoiding unit interval orders: a diagrammatic proof
by: McDonough, Joseph, et al.
Published: (2024)

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

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

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

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

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

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

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

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

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)

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

The problem of deciding the positivity of Kronecker coefficients and Saxl conjecture
by: Ebrahimi, Mahdi
Published: (2025)

Rook sums in the symmetric group algebra
by: Grinberg, Darij
Published: (2025)

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

On conjugacy classes of $S_n$ containing all irreducibles
by: Sundaram, Sheila
Published: (2016)

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

Representation Theoretic Bases for the $Δ$-Springer Module
by: Chou, Raymond, et al.
Published: (2025)

Canonical bases and new applications of increasing and decreasing subsequences to invariant theory
by: Bowman, C., et al.
Published: (2022)

Prime power variations of higher $Lie_n$ modules
by: Sundaram, Sheila
Published: (2021)

A combinatorial formula for the nabla operator
by: Carlsson, Erik, et al.
Published: (2020)

Homology of Segre powers of Boolean and subspace lattices
by: Li, Yifei, et al.
Published: (2024)

The chromatic index of strongly regular graphs
by: Cioaba, Sebastian M., et al.
Published: (2018)

Sperner's colorings of hypergraphs arising from edgewise triangulations
by: Jojić, Duško, et al.
Published: (2025)

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

Multiplicity-free induced characters of symmetric groups
by: Turek, Pavel
Published: (2023)

A new conjecture on the inertia of graphs
by: Akbari, Saieed, et al.
Published: (2025)

Presentations of Schur and Specht modules in characteristic zero
by: Maliakas, Mihalis, et al.
Published: (2023)

Web invariants for flamingo Specht modules
by: Fraser, Chris, et al.
Published: (2023)

Counterexamples to two conjectures on mean color numbers of graphs
by: Zhai, Wushuang, et al.
Published: (2024)

q-Whittaker functions, finite fields, and Jordan forms
by: Karp, Steven N., et al.
Published: (2022)

Partial permutations and character evaluations
by: Hamaker, Zachary, et al.
Published: (2025)

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

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

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

The conjugacy action of $S_n$ and modules induced from centralisers
by: Sundaram, Sheila
Published: (2016)

On cores of distance-regular graphs
by: Geertsema, Annemarie, et al.
Published: (2025)

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

The construction of a class of presentations for Specht modules
by: Friedmann, Tamar
Published: (2024)

The plethystic inverse of the odd Lie representations
by: Sundaram, Sheila
Published: (2020)

The reflection representation in the homology of subword order
by: Sundaram, Sheila
Published: (2020)