A Cayley-Hamilton theorem for the skew Capelli elements
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Publication:5945135
DOI10.1006/jabr.2001.8824zbMath0981.17006OpenAlexW1966251065MaRDI QIDQ5945135
Publication date: 24 March 2002
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.2001.8824
Universal enveloping (super)algebras (17B35) Rings of differential operators (associative algebraic aspects) (16S32)
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Cites Work
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- The Capelli identity, the double commutant theorem, and multiplicity-free actions
- Explicit Newton's formula for \({\mathfrak gl}_n\)
- Capelli identities for classical Lie algebras
- Yangians and Gelfand-Zetlin bases
- A quantum analogue of the Capelli identity and an elementary differential calculus on \(GL_ q(n)\)
- Stirling partitions of the symmetric group and Laplace operators for the orthogonal Lie algebra
- Quantum immanants and higher Capelli identities
- Pfaffians on Hilbert space
- Remarks on Classical Invariant Theory
- On the Product of Two Alternating Matrices
- Newton’s formula for 𝔤𝔩_{𝔫}
- Yangians and classical Lie algebras
- On Turnbull identity for skew-symmetric matrices
- EXPLICIT CAPELLI IDENTITIES FOR SKEW SYMMETRIC MATRICES
- Sklyanin determinant, Laplace operators, and characteristic identities for classical Lie algebras
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