Cover Image

Symmetries of Grothendieck rings in representation theory

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Hernandez, David
Format:	Preprint
Published:	2025
Subjects:	Representation Theory Quantum Algebra Rings and Algebras Exactly Solvable and Integrable Systems
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Representations and characters of quantum affine algebras at the crossroads between cluster categorification and quantum integrable models
by: Hernandez, David
Published: (2025)

Ruijsenaars wavefunctions as modular group matrix coefficients
by: Di Francesco, Philippe, et al.
Published: (2024)

Zhelobenko-Stern formulas and $B_n$ Toda wave functions
by: Galiullin, Artur, et al.
Published: (2024)

Pentagram maps over rings, Grassmannians, and skewers
by: Hand, Leaha, et al.
Published: (2024)

Action of $W$-type operators on Schur functions and Schur Q-functions
by: Liu, Xiaobo, et al.
Published: (2022)

BiHom-Lie brackets and the Toda equation
by: Gai, Botong, et al.
Published: (2025)

Two new super integrable hierarchies and a generalized super-AKNS hierarchy
by: Bi, Yanhui, et al.
Published: (2025)

A classification of automorphic Lie algebras on complex tori
by: Knibbeler, Vincent, et al.
Published: (2024)

Orthosymplectic $R$-matrices
by: Hong, Kyungtak, et al.
Published: (2024)

Orthosymplectic quantum groups revisited
by: Hong, Kyungtak, et al.
Published: (2026)

Extremal monomial property of q-characters and polynomiality of the X-series
by: Frenkel, Edward, et al.
Published: (2025)

Weyl group symmetry of q-characters
by: Frenkel, Edward, et al.
Published: (2022)

Extended Baxter relations and QQ-systems for quantum affine algebras
by: Frenkel, Edward, et al.
Published: (2023)

Folded quantum integrable models and deformed W-algebras
by: Frenkel, Edward, et al.
Published: (2021)

On a non-commutative sixth $q$-Painlevé system: from discrete system to surface theory
by: Bobrova, Irina
Published: (2025)

Baxterization for the dynamical Yang-Baxter equation
by: Ren, Muze
Published: (2023)

Conformal field theory, solitons, and elliptic Calogero--Sutherland models
by: Berntson, Bjorn K., et al.
Published: (2023)

Bicharacter twists of quantum groups
by: Martin, Ian, et al.
Published: (2025)

Orthogonal bases for two-parameter quantum groups
by: Martin, Ian, et al.
Published: (2024)

Baxter operators in Ruijsenaars hyperbolic system IV. Coupling constant reflection symmetry
by: Belousov, N., et al.
Published: (2023)

Orthosymplectic superoscillator Lax matrices
by: Frassek, Rouven, et al.
Published: (2023)

Two-Parameter Quantum Groups and $R$-Matrices: Classical Types
by: Martin, Ian, et al.
Published: (2024)

Deformed Calogero--Moser operators and ideals of rational Cherednik algebras
by: Berest, Yuri, et al.
Published: (2020)

Polynomial vector fields in $\mathbb{C}^\infty$ determining differentiation of hyperelliptic functions of any genus
by: Bunkova, E. Yu.
Published: (2025)

Multiple commutation relations of the quantum affine algebra $U_q(\widehat{\mathfrak{gl}}_N)$, nested Bethe vector and the Gelfand-Tsetlin basis
by: Gerrard, Allan John, et al.
Published: (2025)

Cluster integrable systems
by: Bershtein, Mikhail
Published: (2025)

Solutions of 3D Reflection Equation from Quantum Cluster Algebra Associated with Symmetric Butterfly Quiver
by: Inoue, Rei, et al.
Published: (2025)

The $q-$Onsager algebra and multivariable $q-$special functions
by: Baseilhac, Pascal, et al.
Published: (2016)

$q$-Analogue of the degree zero part of a rational Cherednik algebra
by: Feigin, Misha, et al.
Published: (2023)

Commutative Poisson algebras from deformations of noncommutative algebras
by: Mikhailov, Alexander V., et al.
Published: (2024)

Non-Abelian discrete Toda chains and related lattices
by: Bobrova, Irina, et al.
Published: (2023)

Integrability of the Inozemtsev spin chain
by: Chalykh, Oleg
Published: (2024)

Yang-Baxter maps and independence preserving property
by: Sasada, Makiko, et al.
Published: (2022)

Bosonic quantum integrable systems and gauge theories
by: Gu, Wei
Published: (2023)

$Q$-operators, $q$-opers, and R-matrices in 5d $\mathcal{N}=1$ gauge theory
by: Jeong, Saebyeok, et al.
Published: (2025)

Birational Weyl group actions and q-Painleve equations via mutation combinatorics in cluster algebras
by: Masuda, Tetsu, et al.
Published: (2023)

KdV hierarchies and quantum Novikov's equations
by: Buchstaber, V. M., et al.
Published: (2021)

Bilinear tau forms of quantum Painlevé equations and $\mathbb{C}^2/\mathbb{Z}_2$ blowup relations in SUSY gauge theories
by: Bonelli, Giulio, et al.
Published: (2025)

Yangian of the periplectic Lie superalgebra
by: Nazarov, Maxim
Published: (2024)

Twisted symmetric exclusion processes and set-theoretical $R$-matrices
by: Dabrowski, Mathieu, et al.
Published: (2026)