Cover Image

Cubic algebras, induced representations and general solution of the exceptional Laguerre equation $X_1$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Marquette, Ian
Format:	Preprint
Published:	2024
Subjects:	Mathematical Physics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Special function models of indecomposable $sl(2)$ representations: The Laguerre Case
by: Bertrand, Sébastien, et al.
Published: (2023)

Representations of quadratic Heisenberg-Weyl algebras and polynomials in the fourth Painlevé transcendent
by: Marquette, Ian
Published: (2024)

Decomposition of enveloping algebras of simple Lie algebras and their related polynomial algebras
by: Campoamor-Stursberg, Rutwig, et al.
Published: (2022)

Polynomial deformations of $sl(2)$ and unified algebraic framework for solutions of a class of spin models
by: Li, Siyu, et al.
Published: (2025)

Bethe ansatz solutions and hidden $sl(2)$ algebraic structure for a class of quasi-exactly solvable systems
by: Li, Siyu, et al.
Published: (2023)

The Lie algebra of the lowest transitively differential group of degree three
by: Grundland, Alfred Michel, et al.
Published: (2023)

Algebraic structures and Hamiltonians from the equivalence classes of 2D conformal algebras
by: Marquette, Ian, et al.
Published: (2023)

Stäckel transform, coupling constant metamorphosis and algebraization of quasi-exactly solvable systems
by: Li, Siyu, et al.
Published: (2025)

Spectrum-generating algebra and intertwiners of the resonant Pais-Uhlenbeck oscillator
by: Fring, Andreas, et al.
Published: (2026)

Superintegrability and Deformed Oscillator Realizations of Quantum TTW Hamiltonians on Constant-Curvature Manifolds and with Reflections in a Plane
by: Marquette, Ian, et al.
Published: (2023)

Polynomially Superintegrable Hamiltonians Separating in Cartesian Coordinates
by: Marquette, Ian, et al.
Published: (2025)

A Casimir operator for a Calogero $W$ algebra
by: Correa, Francisco, et al.
Published: (2023)

Subalgebra chains and nuclear physics: Commutant approach and construction of polynomial algebras
by: Campoamor-Stursberg, Rutwig, et al.
Published: (2025)

Finite-dimensional $\mathbb{Z}$-graded Lie algebras
by: Gould, Mark D., et al.
Published: (2025)

New quasi-exactly solvable systems from SUSYQM and Bethe Ansatz
by: Li, Siyu, et al.
Published: (2025)

On the construction of polynomial Poisson algebras: a novel grading approach
by: Campoamor-Stursberg, Rutwig, et al.
Published: (2025)

Polynomial algebra from the Lie algebra reduction chain $\mathfrak{su}(4) \supset \mathfrak{su}(2) \times \mathfrak{su}(2)$: The supermultiplet model
by: Campoamor-Stursberg, Rutwig, et al.
Published: (2025)

Operational solutions for the generalized Fokker-Planck and generalized diffusion-wave equations
by: Górska, K.
Published: (2025)

Geometric construction of superintegrable Poisson projection chains via Poisson centralizers
by: Jiang, Kai, et al.
Published: (2026)

Poisson Centralisers and Polynomial Superintegrability for Magnetic Geodesic Flows on Reductive Homogeneous Spaces
by: Jiang, Kai, et al.
Published: (2026)

The 2D Smorodinsky--Winternitz II system and the Laguerre--Heun algebra
by: Chea, Vutha Vichea, et al.
Published: (2026)

Symmetries and exact solutions of a reaction-diffusion system arising in population dynamics
by: Broadbridge, Philip, et al.
Published: (2024)

Polynomial Poisson Algebras and Superintegrable Systems from Cartan centralisers of Types $B_3$, $C_3$ and $D_3$
by: Campoamor-Stursberg, Rutwig, et al.
Published: (2024)

Exact surface energies and boundary excitations of the Izergin-Korepin model with generic boundary fields
by: Lu, Pengcheng, et al.
Published: (2024)

Exact physical quantities of the $D_2^{(2)}$ spin chain model with generic open boundary conditions
by: Lu, Pengcheng, et al.
Published: (2025)

Pluriharmonic solutions to Yang-Mills equations: a $C^*$-algebras approach
by: Beceanu, Marius, et al.
Published: (2024)

Generalized quantum Zernike Hamiltonians: Polynomial Higgs-type algebras and algebraic derivation of the spectrum
by: Campoamor-Stursberg, Rutwig, et al.
Published: (2025)

Integral representation of time-harmonic solutions to Maxwell's equations with fast numerical convergence
by: Jaykar, Kalpesh, et al.
Published: (2026)

Exact solution of a quantum integrable system associated with the $G_2$ exceptional Lie algebra
by: Li, Guang-Liang, et al.
Published: (2024)

Improved concentration of Laguerre and Jacobi ensembles
by: Huang, Yichen, et al.
Published: (2022)

Post-Hopf algebras, relative Rota-Baxter operators and solutions of the Yang-Baxter equation
by: Li, Yunnan, et al.
Published: (2022)

Root patterns and exact surface energy of the spin-1 Heisenberg model with generic open boundaries
by: Dong, Jiasheng, et al.
Published: (2024)

Edge density expansions for the classical Gaussian and Laguerre ensembles
by: Forrester, Peter J., et al.
Published: (2026)

Some solutions to the eigenstate equation for the free quantum field Hamiltonian in the Schrödinger representation
by: Bolokhov, T. A.
Published: (2024)

Integrability enabled computations relating to the fixed trace Laguerre ensemble
by: Forrester, Peter J., et al.
Published: (2026)

New solutions of Isochronous potentials in terms of exceptional orthogonal polynomials in heterostructures
by: Yadav, Satish, et al.
Published: (2024)

Minimal algebraic solutions of the sixth equation of Painlevé
by: Conte, Robert
Published: (2025)

A probabilistic representation of the solution to a 1D evolution equation in a medium with negative index
by: Bonnetier, Éric, et al.
Published: (2022)

New exact solutions to the generalized shallow water wave equation
by: Mia, Rajib, et al.
Published: (2024)

The smallest eigenvalue of $β$-Laguerre and $β$-Jacobi ensembles and multivariate orthogonal polynomials
by: Jeong, Sungwoo
Published: (2025)