The refined solution to the capelli eigenvalue problem for \(\mathfrak{gl} ( m | n ) \oplus \mathfrak{gl} ( m | n )\) and \(\mathfrak{gl} ( m | 2 n )\)

DOI10.1016/J.INDAG.2024.05.002MaRDI QIDQ6663165

Mengyuan Cao, Monica Nevins, Hadi Salmasian

Publication date: 14 January 2025

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

invariant differential operatorsLie superalgebrashifted super Jack polynomials

Mathematics Subject Classification ID

Nonassociative rings and algebras (17-XX) Differential geometry (53-XX)

Cites Work

• Title not available (Why is that?)
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• Jordan algebras and Capelli identities
• Shifted Jack polynomials, binomial formula, and applications
• Generalised discriminants, deformed Calogero-Moser-Sutherland operators and super-Jack polynomials
• The Capelli identity, tube domains, and the generalized Laplace transform
• The Capelli eigenvalue problem for Lie superalgebras
• Orbits and Invariants of Super Weyl Groupoid

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