226 citations
- The University of QueenslandAU5 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Czech Academy of Sciences, Astronomical InstituteCZ2 papers
- Instituto de Astrofísica de AndalucíaES2 papers
- Universidad de GranadaES2 papers
- Universidad de MálagaES2 papers
- A. Alikhanyan National LaboratoryAM1 paper
- Adam Mickiewicz University in PoznańPL1 paper
- Agenzia Spaziale ItalianaIT1 paper
- Aryabhatta Research Institute of Observational SciencesIN1 paper
- Astronomical Observatory of RomeIT1 paper
- Astronomy and SpaceAU1 paper
8 papers
Polynomial algebras from commutants: Classical and Quantum aspects of
Rutwig Campoamor-Stursberg, Danilo Latini, Ian Marquette +1
We review some aspects of the Racah algebra , including the closure relations, pointing out their role in superintegrability, as well as in the description of the symmetry al…
Polynomial algebras from Lie algebra reduction chains
Rutwig Campoamor-Stursberg, Danilo Latini, Ian Marquette +1
We reexamine different examples of reduction chains of Lie algebras in order to show how the polynomials determining the commutant with respect…
Algebraic (super-)integrability from commutants of subalgebras in universal enveloping algebras
Rutwig Campoamor-Stursberg, Danilo Latini, Ian Marquette +1
Starting from a purely algebraic procedure based on the commutant of a subalgebra in the universal enveloping algebra of a given Lie algebra, the notion of algebraic Hamiltonians a…
Quadratic algebras as commutants of algebraic Hamiltonians in the enveloping algebra of Schrödinger algebras
Rutwig Campoamor-Stursberg, Ian Marquette
We discuss a procedure to determine finite sets within the commutant of an algebraic Hamiltonian in the enveloping algebra of a Lie algebra such that t…
An overview of generalised Kac-Moody algebras on compact real manifolds
Rutwig Campoamor-Stursberg, Marc de Montigny, Michel Rausch de Traubenberg
A generalised notion of Kac-Moody algebra is defined using smooth maps from a compact real manifold to a finite-dimensional Lie group, by means of complete orthonorma…
Hidden symmetry algebra and construction of quadratic algebras of superintegrable systems
Rutwig Campoamor-Stursberg, Ian Marquette
The notion of hidden symmetry algebra used in the context of exactly solvable systems is re-examined from the purely algebraic way, analyzing subspaces of commuting polynomials tha…