Supersymmetric analogues of the classical theorem on harmonic polynomials

DOI10.1142/S021949881450011XzbMath1358.17009arXiv1202.1673OpenAlexW1969616534MaRDI QIDQ5420680

Xiaoping Xu, Cui Ling Luo

Publication date: 13 June 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.1673

zbMATH Keywords

decompositionLie superalgebraoscillator representationirreducible modulesupersymmetric harmonic polynomial

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20) Polynomial solutions to PDEs (35C11)

Related Items (6)

On polynomial representations of strange Lie superalgebras of \(Q\)-type ⋮ Fischer decomposition for polynomials on superspace ⋮ Singular conformal oscillator representations of orthosymplectic Lie superalgebras ⋮ Conformal oscillator representations of orthosymplectic Lie superalgebras ⋮ On polynomial representations of strange Lie superalgebras \(P(n)\) ⋮ Projective oscillator representations of sl(n+1|m) and osp(m|n+1)

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• ℤ²-Graded Oscillator Representations ofsl(n)
• Differential operators and highest weight representations
• Spherical harmonics and integration in superspace
• An analog of the classical invariant theory for Lie superalgebras. I, II

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