Construction of polynomial algebras from intermediate Casimir invariants of Lie algebras (Q5057880)

scientific article; zbMATH DE number 7625573

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English	Construction of polynomial algebras from intermediate Casimir invariants of Lie algebras	scientific article; zbMATH DE number 7625573

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instance of

scholarly article

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title

Construction of polynomial algebras from intermediate Casimir invariants of Lie algebras (English)

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Journal of Physics A: Mathematical and Theoretical

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publication date

1 December 2022

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full work available at URL

https://arxiv.org/abs/2204.06840

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zbMATH Keywords

Racah algebra

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polynomial algebras

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Casimir invariants

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superintegrable systems

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MaRDI profile type

MaRDI publication profile

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cites work

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On realizations of polynomial algebras with three generators via deformed oscillator algebras

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Polynomial algebras of superintegrable systems separating in Cartesian coordinates from higher order ladder operators

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Q3269775

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Three-Dimensional Isotropic Harmonic Oscillator and SU3

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Extended Kepler–Coulomb quantum superintegrable systems in three dimensions

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$N$-dimensional classical integrable systems from Hopf algebras

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A systematic construction of completely integrable Hamiltonians from coalgebras

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Racah algebra R(n) from coalgebraic structures and chains of R(3) substructures

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The general Racah algebra as the symmetry algebra of generic systems on pseudo-spheres

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A higher rank Racah algebra and the $\mathbb{Z}_2^n$ Laplace–Dunkl operator

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Wilson polynomials and the generic superintegrable system on the 2-sphere

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Symmetrical Coupling of Three Angular Momenta

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Identifiers

Mathematics Subject Classification ID

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10.1088/1751-8121/AC7CA3

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Sitelinks

Mathematics(1 entry)

mardi Publication:5057880