Cover Image

On the quantum algebra $su_q(1,1)$ from a Special Function standpoint

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Alvarez-Nodarse, R., Arenas-Gomez, A.
Format:	Preprint
Published:	2025
Subjects:	Mathematical Physics Quantum Algebra 81R50, 33C45
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The $q$-Racah polynomials from scalar products of Bethe states II
by: Baseilhac, Pascal, et al.
Published: (2025)

A $q$-version of the relation between the hypercube, the Krawtchouk chain and Dicke states
by: Bernard, Pierre-Antoine, et al.
Published: (2024)

Fused K-operators and the $q$-Onsager algebra
by: Lemarthe, Guillaume, et al.
Published: (2023)

The Askey--Wilson algebras, the Lie algebra $\mathfrak{so}_{3}$, and their fermionic realizations
by: Huang, Hau-Wen
Published: (2025)

Compactification of quasi-local algebras on the lattice
by: Ikeda, Jun
Published: (2025)

Partial $*$-algebraic quantum groups and Drinfeld doubles of partial compact quantum groups
by: De Commer, Kenny, et al.
Published: (2022)

Topological analysis in $\mathcal{R}(p,q)-$anisotropic sector and nuclear space on $\mathcal{R}(p,q)-$quantum deformed algebra
by: Lankpetre, Kawèyim, et al.
Published: (2026)

Algebraic interpretation of the two-variable Jacobi polynomials on the triangle: the pentagonal way
by: Crampé, Nicolas, et al.
Published: (2025)

Representations of the $su(1,1)$ current algebra and probabilistic perspectives
by: Floreani, Simone, et al.
Published: (2024)

Tutorial on one-dimensional $q$-Fourier transforms
by: Wachter, Hartmut
Published: (2024)

Trigonometric K-matrices for finite-dimensional representations of quantum affine algebras
by: Appel, Andrea, et al.
Published: (2022)

A strange five vertex model and multispecies ASEP on a ring
by: Kuniba, Atsuo, et al.
Published: (2024)

Ladder operators approach to representation classification problem for Jordan-Schwinger image of su(2) algebra
by: Tushavin, G. V., et al.
Published: (2022)

Brace $B_{\infty}$ algebras associated with Hopf algebroids
by: Cheng, Jiahao, et al.
Published: (2025)

Cyclic Representations of $U_q(\hat{\mathfrak{sl}}_2)$ and its Borel Subalgebras at Roots of Unity and Q-operators
by: Weston, Robert
Published: (2024)

Double Yangian, Factorization, and qKZ-equation for Cotangent Lie Algebras
by: Abedin, Raschid, et al.
Published: (2025)

On the Higher-Rank Askey-Wilson Algebras
by: Wang, Wanxia, et al.
Published: (2024)

Connection between coherent states and some integrals and integral representations
by: Popov, Dušan
Published: (2024)

Tensor products, $q$-characters and $R$-matrices for quantum toroidal algebras
by: Laurie, Duncan
Published: (2025)

Twisted logarithmic modules of lattice vertex algebras
by: Bakalov, Bojko, et al.
Published: (2017)

A Quantization of the Loday-Ronco Hopf Algebra
by: Esteves, João N.
Published: (2021)

Cubic Dirac operator for $U_q(\mathfrak{sl}_2)$
by: Krutov, Andrey, et al.
Published: (2022)

Monomial bases and canonical bases for quantum affine algebras
by: Shoji, Toshiaki, et al.
Published: (2026)

On the structure of tensor products of the finite-dimensional representations of quantum affine $\mathfrak{sl}_n$
by: Juergens, Henrik
Published: (2025)

On spectral equations for an evolution operator of a $q$-oscillator lattice
by: Sergeev, Sergey
Published: (2025)

Deformation of the Heisenberg-Weyl algebra and the Lie superalgebra $\mathfrak{osp}\left( {1|2} \right)$: exact solution for the quantum harmonic oscillator with a position-dependent mass
by: Jafarov, E. I., et al.
Published: (2025)

The Topological form is the Pfaffian form
by: Balduf, Paul-Hermann, et al.
Published: (2025)

The Wigner function of a semiconfined harmonic oscillator model with a position-dependent effective mass
by: Nagiyev, S. M., et al.
Published: (2023)

Realization of unitary representations of the Lorentz group on de Sitter space
by: Frahm, Jan, et al.
Published: (2024)

Categorification of quantum boson algebras
by: Qunell, Sam
Published: (2025)

Bocher contractions of conformally superintegrable Laplace equations: Detailed computations
by: Kalnins, E. G., et al.
Published: (2015)

q-Plane Wave Solutions of q-Weyl gravity
by: Dobrev, V. K., et al.
Published: (2007)

Quantization of Lorentzian free BV theories: factorization algebra vs algebraic quantum field theory
by: Benini, Marco, et al.
Published: (2022)

Generalized Harish-Chandra morphism on Reflection Equation algebras
by: Gurevich, Dimitry, et al.
Published: (2024)

Inflations among quantum Grothendieck rings of type A
by: Fujita, Ryo
Published: (2024)

Algorithm for computing canonical bases and foldings of quantum groups
by: Shoji, Toshiaki, et al.
Published: (2025)

Faithful actions of locally compact quantum groups on classical spaces
by: Goswami, Debashish, et al.
Published: (2015)

Exceptional embeddings of $N=2$ minimal models
by: Camacho, Ana Ros, et al.
Published: (2025)

The Poisson-Fourier Transform for bicrossed products I: Abelian approximations and the quantum duality principle
by: Massar, A.
Published: (2025)

Wick theorem and matrix Capelli identity for quantum differential operators on Reflection Equation Algebras
by: Gurevich, Dimitri, et al.
Published: (2024)