Linear operators with invariant polynomial space and graded algebra

DOI10.1063/1.531806zbMath0869.22011OpenAlexW2021377553MaRDI QIDQ4338359

Yves Brihaye, Stefan Giller, Piotr Kosiński

Publication date: 31 August 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531806

zbMATH Keywords

graded algebrasdifferential operatorsirreducible finite-dimensional representations

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (3)

QUASI-EXACTLY SOLVABLE APPROACH TO THE JAYNES–CUMMINGS MODEL WITHOUT ROTATION WAVE APPROXIMATION ⋮ The Lie algebraic structure of differential operators admitting invariant spaces of polynomials ⋮ Quasi exactly solvable operators and Lie superalgebras

Cites Work

• Quantum superalgebra \(U_q\mathrm{osp}(2,2)\)
• Quantal problems with partial algebraization of the spectrum
• \(q\)-oscillator realizations of the quantum superalgebras \(sl_ q(m,n)\) and \(osp_ q(m,2n)\)
• Quasi-exactly-solvable problems and sl(2) algebra
• Algebraization of difference eigenvalue equations related to \(U_q(\text{sl}_2)\)
• LIE ALGEBRAIC DISCRETIZATION OF DIFFERENTIAL EQUATIONS
• Finite- and infinite-dimensional representations of the orthosymplectic superalgebra OSP(3,2)
• Lie algebras and polynomials in one variable
• Irreducible representations of the osp(2,1) and spl(2,1) graded Lie algebras
• Boson–fermion models for osp(1,2) and U q[osp(1,2)]
• Quasiexactly solvable 2×2 matrix equations
• The structure of quasi-exactly solvable systems

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