Cover Image

Categorification of $k$-Schur functions and refined Macdonald positivity

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Kato, Syu
Format:	Preprint
Published:	2025
Subjects:	Representation Theory Algebraic Geometry Combinatorics 05E05, 20G05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Seidel product formula in equivariant quantum $K$-theory of flag varieties
by: Ikeda, Takeshi, et al.
Published: (2026)

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

Newton polytope of good symmetric polynomials
by: Duc, Khanh Nguyen, et al.
Published: (2022)

Ian G. Macdonald: Works of Art
by: Ram, Arun
Published: (2024)

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

Closed $k$-Schur Katalan functions as $K$-homology Schubert representatives of the affine Grassmannian
by: Ikeda, Takeshi, et al.
Published: (2022)

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

Kostka polynomials of $G(\ell,1,m)$
by: Kato, Syu
Published: (2024)

Lowering operators on $K$-$k$-Schur functions and a lowering operator formula for closed $K$-$k$-Schur functions
by: Fang, Yaozhou, et al.
Published: (2025)

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

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

Graph enumeration for moduli spaces of curves and maps
by: Kannan, Siddarth, et al.
Published: (2025)

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

Supersymmetric Schur polynomials have saturated Newton polytopes
by: Hiep, Dang Tuan, et al.
Published: (2025)

Representation theory of finite groups through (basic) algebraic geometry
by: Arrondo, Enrique
Published: (2020)

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

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

Asymptotics of Plethysm
by: Kuppel, Tim
Published: (2025)

Key expansion of the flagged refined skew stable Grothendieck polynomial
by: Kundu, Siddheswar
Published: (2024)

A generalization of the Murnaghan-Nakayama rule for $K$-$k$-Schur and $k$-Schur functions
by: Duc, Khanh Nguyen
Published: (2022)

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

A Geometric Realization of Partially-Symmetric Macdonald Polynomials
by: Goodberry, Ben, et al.
Published: (2023)

Intersection cohomology without spaces
by: Braden, Tom, et al.
Published: (2025)

Categorification of DAHA and Macdonald polynomials
by: Kato, Syu, et al.
Published: (2021)

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)

Canonical Landau-Ginzburg models for cominuscule homogeneous spaces
by: Spacek, Peter, 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)

On combinatorics of string polytopes in types $B$ and $C$
by: Cho, Yunhyung, et al.
Published: (2023)

Tropical subrepresentations of the boolean regular representation in low dimension
by: Marcus, Steffen, et al.
Published: (2024)

Relativistic Toda lattice and equivariant $K$-homology of affine Grassmannian
by: Ikeda, Takeshi, et al.
Published: (2025)

Zero-one dual characters of flagged Weyl modules
by: Guo, Peter L., et al.
Published: (2024)

Cocrystals of symplectic Kashiwara-Nakashima tableaux, symplectic Willis like direct way, virtual keys and applications
by: Azenhas, Olga, et al.
Published: (2021)

Regular Schur labeled skew shape posets and their 0-Hecke modules
by: Kim, Young-Hun, et al.
Published: (2023)

Poset modules of the $0$-Hecke algebras and related quasisymmetric power sum expansions
by: Choi, Seung-Il, et al.
Published: (2023)

Gamma vectors of partitioned permutohedra
by: Horiguchi, Tatsuya, et al.
Published: (2024)

A refined twist on Hurwitz numbers
by: Fesler, Raphaël, et al.
Published: (2025)

Punctual noncommutative Hilbert schemes
by: Reineke, Markus
Published: (2025)

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)

Cluster scattering diagrams via quiver moduli and tight gradings
by: Burcroff, Amanda, et al.
Published: (2025)