Cover Image

Schur positivity of the nabla operator on two-column modified Hall--Littlewood polynomials

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Qu, Menghao
Format:	Preprint
Published:	2026
Subjects:	Combinatorics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A parking function interpretation for $(-1)^{k}\nabla m_{2^{k}1^{l}}$
by: Qu, Menghao, et al.
Published: (2023)

Bijections between different combinatorial models for $q$-Whittaker and modified Hall-Littlewood polynomials
by: Ratheesh, T V
Published: (2024)

Symmetry of the refined $q,t$-Catalan polynomials for $\vec{k}$-Dyck paths
by: Qu, Menghao, et al.
Published: (2025)

Groups with pairings, Hall modules, and Hall-Littlewood polynomials
by: Shen, Jiahe, et al.
Published: (2025)

Schur positivity of difference of products of derived Schur polynomials
by: Ross, Julius, et al.
Published: (2024)

Bounded Littlewood identities for cylindric Schur functions
by: Huh, JiSun, et al.
Published: (2023)

Shuffle Tableaux, Littlewood--Richardson Coefficients, and Schur Log-Concavity
by: Nguyen, Chau, et al.
Published: (2025)

The super nabla operator
by: Bergeron, François, et al.
Published: (2023)

A formula for the Jack super nabla operator
by: Dali, Houcine Ben
Published: (2025)

Double Hall-Littlewood symmetric polynomials
by: Chen, Jiayi, et al.
Published: (2026)

Equating Inv-Quinv formulas for the $q$-Whittaker and modified Hall-Littlewood functions
by: Bhattacharya, Aritra
Published: (2024)

The monomial expansion formula for Hall-Littlewood $P$-polynomials
by: Bhattacharya, Aritra
Published: (2024)

Structure constants for spin Hall--Littlewood functions
by: Gunna, Ajeeth, et al.
Published: (2025)

On the maxima of Littlewood polynomials on $[-1,1]$
by: Letwin, Brayden, et al.
Published: (2026)

Schur-positivity for generalized nets
by: Shelburne, Ethan, et al.
Published: (2024)

Some new identities for Schur polynomials
by: Bedratyuk, Leonid
Published: (2022)

Optimal bounds on the polynomial Schur's theorem
by: Kim, Jaehoon, et al.
Published: (2024)

Newton polytopes of dual $k$-Schur polynomials
by: Wang, Bo, et al.
Published: (2024)

Hall--Littlewood expansions of chromatic quasisymmetric polynomials using linked rook placements
by: Kim, Jang Soo, et al.
Published: (2025)

Constructing Hall-Littlewood Functions via a Deformation of the Bernstein Operator
by: Graf, John
Published: (2025)

The Littlewood-Richardson rule for Schur multiple zeta functions
by: Hanaki, Hikari
Published: (2026)

Algebraic aspects of the polynomial Littlewood-Offord problem
by: Jin, Zhihan, et al.
Published: (2025)

$P$-Schur positive $P$-Grothendieck Polynomials
by: Hawkes, Graham
Published: (2020)

Stanley's conjecture on the Schur positivity of distributive lattices
by: Li, Grace M. X., et al.
Published: (2024)

Hall-Littlewood-positive harmonic functionals on the algebra of symmetric functions
by: Cuenca, Cesar, et al.
Published: (2026)

$\imath$Hall algebra of Jordan quiver and $\imath$Hall-Littlewood functions
by: Lu, Ming, et al.
Published: (2021)

Free boundary q-Whittaker and Hall-Littlewood processes
by: He, Jimmy, et al.
Published: (2025)

A Schur-positivity classification for complete multipartite graphs
by: Shelburne, Ethan, et al.
Published: (2026)

The Pieri formulas and the Littlewood-Richardson rule for Schur multiple zeta functions
by: Nakaoka, Shutaro
Published: (2023)

Quasisymmetric expansion of Hall-Littlewood symmetric functions
by: Grinberg, Darij, et al.
Published: (2024)

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

Tetrahedral $L$-operators, tensor Schur polynomials and $q$-deformed loop elementary symmetric functions
by: Iwao, Shinsuke, et al.
Published: (2026)

General position polynomials
by: Iršič, Vesna, et al.
Published: (2024)

On two conjectures for generalized off-diagonal Schur numbers
by: Song, Yanyan, et al.
Published: (2026)

A representation-theoretic interpretation of the Schur expansion of two-row genomic Schur functions
by: Kim, Young-Hun
Published: (2026)

Hall-Littlewood polynomials, affine Schubert series, and lattice enumeration
by: Maglione, Joshua, et al.
Published: (2024)

The diagonal derivative of a skew Schur polynomial
by: Grinberg, Darij, et al.
Published: (2024)

Expanding the unicellular LLT polynomials of two-headed melting lollipops into ribbon Schurs
by: Wang, Victor
Published: (2025)

Two Littlewood identities for fully inhomogeneous spin Hall-Littlewood symmetric rational functions
by: Fischer, Ilse, et al.
Published: (2026)

A concise proof of cylindric Schur positivity
by: Dobner, Alexander
Published: (2026)