Cover Image

Characters of $GL_n(\mathbb F_q)$ and vertex operators

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Jing, Naihuan, Wu, Yu
Format:	Preprint
Published:	2023
Subjects:	Representation Theory Combinatorics Group Theory Quantum Algebra Primary: 20C33, 17B69, Secondary: 05E10
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On character values of $GL_n(\mathbb F_q)$
by: Jing, Naihuan, et al.
Published: (2024)

Irreducible characters of the generalized symmetric group
by: Gao, Huimin, et al.
Published: (2024)

Irreducible characters and bitrace for the $q$-rook monoid
by: Jing, Naihuan, et al.
Published: (2023)

Murnaghan-Nakayama rule for the cyclotomic Hecke algebra and applications
by: Jing, Naihuan, et al.
Published: (2025)

Dual Murnaghan-Nakayama rule for Hecke algebras in Type $A$
by: Jing, Naihuan, et al.
Published: (2025)

A multiparametric Murnaghan-Nakayama rule for Macdonald polynomials
by: Jing, Naihuan, et al.
Published: (2023)

Ext operators for wreath Macdonald polynomials
by: Ferlinc, Seamus Albion, et al.
Published: (2025)

Skew odd orthogonal characters and interpolating Schur polynomials
by: Jing, Naihuan, et al.
Published: (2025)

Plethystic Murnaghan-Nakayama rule via vertex operators
by: Cao, Yue, et al.
Published: (2022)

General Capelli-type identities
by: Jing, Naihuan, et al.
Published: (2023)

Quantum Littlewood correspondences
by: Jing, Naihuan, et al.
Published: (2025)

The ring of stable characters over $\text{GL}_\bullet(q)$
by: Ernst-West, Danielle, et al.
Published: (2024)

Diameter bounds for finite simple Lie algebras
by: Barbieri, Marco, et al.
Published: (2025)

Super-immanants and Littlewood correspondences
by: Jing, Naihuan, et al.
Published: (2026)

Automorphism groups of parafermion vertex operator algebras: general case
by: Lam, Ching Hung, et al.
Published: (2024)

Counting $\mathbb F_q$-points of orbital varieties in ad-nilpotent ideals of type $A_n$
by: Bardestani, Mohammad, et al.
Published: (2025)

Rogers-Ramanujan exact sequences and free representations over free generalized vertex algebras
by: Kawasetsu, Kazuya
Published: (2024)

Almost all wreath product character values are divisible by given primes
by: Dong, Brandon, et al.
Published: (2022)

On rational representations and rational group algebra of $\operatorname{GL}_2(q)$
by: Choudhary, Ram Karan, et al.
Published: (2026)

Extra automorphisms of cyclic orbifolds of lattice vertex operator algebras
by: Lam, Ching Hung, et al.
Published: (2021)

Real characters and real classes of $\mathrm{GL}_2$ and $\mathrm{GU}_2$ over discrete valuation rings
by: Gupta, Archita, et al.
Published: (2026)

Wreath Macdonald operators
by: Orr, Daniel, et al.
Published: (2022)

The representation ring of $\mathrm{SL}_2(\mathbb{F}_p)$ and stable modular plethysms of its natural module in characteristic $p$
by: Turek, Pavel
Published: (2022)

A Coboundary Temperely-Lieb Category for $\mathfrak{sl}_2$-Crystals
by: Alqady, Moaaz, et al.
Published: (2025)

Shuffle approach to wreath Pieri operators
by: Wen, Joshua Jeishing
Published: (2024)

Orthogonal roots, quantum Hafnians, and generalized Rothe diagrams
by: Green, R. M., et al.
Published: (2025)

Constructing Chayet-Garibaldi algebras from affine vertex algebras (including the 3876-dimensional algebra for $E_8$)
by: De Medts, Tom, et al.
Published: (2025)

Generalized diagram categories and monoids, and their representations
by: Fresacher, Matthias, et al.
Published: (2025)

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

Virasoro frames and their Stabilizers for the E_8 lattice type Vertex Operator Algebra
by: Griess Jr., Robert L., et al.
Published: (2001)

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)

Word Measures on $GL_N(q)$ and Free Group Algebras
by: Ernst-West, Danielle, et al.
Published: (2021)

Revisiting Foulkes characters of wreath products
by: Zhao, Deke
Published: (2024)

Dimension statistics of representations of finite groups
by: Ayyer, Arvind, et al.
Published: (2025)

Quantum Harish-Chandra isomorphism for the double affine Hecke algebra of $GL_n$
by: Wen, Joshua Jeishing
Published: (2023)

$K$-type multiplicities in degenerate principal series via Howe duality
by: Colarusso, Mark, et al.
Published: (2025)

New Identities in the Character Table of Symmetric Groups involving Riordan Numbers
by: Hemmer, David J., et al.
Published: (2025)

Immanant inequalities and weight spaces
by: Jing, Naihuan, et al.
Published: (2025)

Generating sets of standard modules for $D_4^{(1)}$
by: Baranović, Ivana, et al.
Published: (2026)

Orthogonal roots, Macdonald representations, and quasiparabolic sets
by: Green, R. M., et al.
Published: (2024)