On Turnbull identity for skew-symmetric matrices

DOI10.1017/S0013091500020988zbMath1006.17012MaRDI QIDQ4488187

Tôru Umeda

Publication date: 9 July 2000

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

permanentsCapelli identities

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Universal enveloping (super)algebras (17B35)

Related Items (5)

Quantum immanants, double Young–Capelli bitableaux and Schur shifted symmetric functions ⋮ Capelli identities for reductive dual pairs ⋮ A Cayley-Hamilton theorem for the skew Capelli elements ⋮ Young–Capelli bitableaux, Capelli immanants in U(gl(n)) and the Okounkov quantum immanants ⋮ Extensions of the Tensor Algebra and Their Applications

Cites Work

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• Quantum Berezinian and the classical Capelli identity
• The Capelli identity, the double commutant theorem, and multiplicity-free actions
• Capelli identities for classical Lie algebras
• A quantum analogue of the Capelli identity and an elementary differential calculus on \(GL_ q(n)\)
• The Capelli identity, tube domains, and the generalized Laplace transform
• Quantum immanants and higher Capelli identities
• Remarks on Classical Invariant Theory
• Newton’s formula for 𝔤𝔩_{𝔫}
• Yangians and classical Lie algebras

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