scientific article; zbMATH DE number 7581807

MaRDI QIDQ5101964

Dene Lepine

Publication date: 5 September 2022

Full work available at URL: https://arxiv.org/abs/2011.08357

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

invariant differential operatorsLie superalgebrasCapelli operatorsinterpolation Jack polynomials

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)

Cites Work

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• The Capelli problem for \(\mathfrak{gl}(m|n)\) and the spectrum of invariant differential operators
• The Capelli identity, the double commutant theorem, and multiplicity-free actions
• Shifted Jack polynomials, binomial formula, and applications
• The Capelli identity, tube domains, and the generalized Laplace transform
• The Capelli eigenvalue problem for Lie superalgebras
• The orthosymplectic superalgebra in harmonic analysis
• Schur 𝑄-functions and the Capelli eigenvalue problem for the Lie superalgebra \ger𝑞(𝑛)
• Spherical harmonics and integration in superspace
• Lie superalgebras

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