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Bibliographic Details
Main Author:	Zaitsev, Mikhail
Format:	Preprint
Published:	2024
Subjects:	Quantum Algebra
Online Access:	https://arxiv.org/abs/2411.13178
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The $q$-immanants and higher quantum Capelli identities
by: Jing, Naihuan, et al.
Published: (2024)

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

Quantum $\mathfrak{gl}$-weight system and its average values
by: Zaitsev, Mikhail
Published: (2025)

Representations of Spectrum of GL(m) type Quantum Matrices
by: Gurevich, Dimitry, et al.
Published: (2026)

The Capelli eigenvalue problem for quantum groups
by: Letzter, Gail, et al.
Published: (2022)

Infinitesimal deformations of $\mathfrak{sl}_2$ with a twisted Jacobi identity
by: Zhu, Haoran
Published: (2026)

Dilogarithm identities in cluster scattering diagrams
by: Nakanishi, Tomoki
Published: (2021)

$R$-matrix Dunkl operators and spin Calogero-Moser system
by: Chalykh, Oleg, et al.
Published: (2025)

Universal $R$-matrix of double parameter quantum affine algebra $U_{q,Q}({\hat {sl_2}})$
by: Li, Fengchang, et al.
Published: (2026)

Exact structures and degeneration of Hall algebras
by: Fang, Xin, et al.
Published: (2020)

The 2-categorical S-matrix of a braided fusion 1-category is a character table
by: Hofstetter, Alea, et al.
Published: (2026)

On the R-matrix realization of the quantum loop algebra. The case of $U_q(D^{(2)}_n)$
by: Liashyk, A., et al.
Published: (2024)

Quantum dilogarithm identities arising from the product formula for universal R-matrix of quantum affine algebras
by: Sugawara, Masaru
Published: (2022)

Combinatorial proof of a permuted basement Macdonald polynomial identity
by: Orr, Daniel, et al.
Published: (2025)

Counting in Calabi--Yau categories, with applications to Hall algebras and knot polynomials
by: Gorsky, Mikhail, et al.
Published: (2024)

A Fibonacci variant of the Rogers-Ramanujan identities via crystal energy
by: Tsuchioka, Shunsuke
Published: (2022)

Hamiltonian and Lagrangian formalisms of mutations in cluster algebras and application to dilogarithm identities
by: Gekhtman, Michael, et al.
Published: (2016)

Universal KZB equations I: the elliptic case
by: Calaque, D., et al.
Published: (2007)

Jacobi-Trudi identity and Drinfeld functor for super Yangian
by: Lu, Kang, et al.
Published: (2020)

A matrix solution to any polygon equation
by: Wan, Zheyan
Published: (2024)

Steinberg skein identities at roots of unity
by: Higgins, Vijay, et al.
Published: (2025)

The meromorphic R-matrix of the Yangian
by: Gautam, Sachin, et al.
Published: (2019)

Coloured combinatorial maps and quartic bi-tracial 2-matrix ensembles from noncommutative geometry
by: Khalkhali, Masoud, et al.
Published: (2023)

The von Neumann algebraic quantum group $\mathrm{SU}_q(1,1)\rtimes \mathbb{Z}_2$ and the DSSYK model
by: Schouten, Koen, et al.
Published: (2025)

Noncommutative Jacobi identity, and gauge theory
by: Grekov, Andrei, et al.
Published: (2024)

Jacobi identities for Wronskian determinants over multidimension
by: Kiselev, Arthemy V.
Published: (2025)

An Extension of Khovanov Homology to Immersed Surface Cobordisms
by: Carter, Scott, et al.
Published: (2025)

A uniform trigonometric R-matrix for the exceptional series
by: Westbury, Bruce W., et al.
Published: (2024)

Quantum symmetry in multigraphs (part II)
by: Goswami, Debashish, et al.
Published: (2024)

Quantum symmetry in multigraphs (part I)
by: Goswami, Debashish, et al.
Published: (2023)

Crossed-Product von Neumann Algebras for Incompressible Navier--Stokes Flows and Spectral Complexity Indicators
by: Filardo, Gautier-Edouard Edouard
Published: (2026)

Direct limits of graded matrix algebras
by: Kochetov, Mikhail, et al.
Published: (2026)

On the left and right coefficients of the general Cayley-Hamilton identities for an nxn matrix
by: Homolya, Szilvia, et al.
Published: (2025)

Boundary minimal models and the Rogers-Ramanujan identities
by: Salazar, Diego
Published: (2024)

Homomorphism Indistinguishability Relations induced by Quantum Groups
by: Seppelt, Tim, et al.
Published: (2025)

Quantum algorithms for matrix geometric means
by: Liu, Nana, et al.
Published: (2024)

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

Derivations and the first Hochschild cohomology group of the quantum grassmannian
by: Launois, Stéphane, et al.
Published: (2024)

EAQEC codes from s-Galois hulls decomposition of linear codes
by: Li, Hui, et al.
Published: (2024)

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