Rank ideals and Capelli identities.

DOI10.1016/S0021-8693(03)00431-9zbMath1089.17006MaRDI QIDQ1427419

Victor Protsak

Publication date: 14 March 2004

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

Capelli identityDeterminantal idealRank idealReductive dual pairUniversal enveloping algebra

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35)

Related Items (2)

Invariant Differential Operators and FCR Factors of Enveloping Algebras ⋮ A Capelli Harish-Chandra homomorphism

Cites Work

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• The Capelli identity, the double commutant theorem, and multiplicity-free actions
• Singular unitary representations of classical groups
• Young diagrams and determinantal varieties
• A characteristic free approach to invariant theory
• Quantum determinantal ideals
• Quasideterminants
• Minor identities for quasi-determinants and quantum determinants
• Remarks on Classical Invariant Theory

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