JACOBI-TRUDI FORMULA FOR THE HIGHER CAPELLI ELEMENTS OF CLASSICAL LIE ALGEBRAS

DOI10.2206/kyushujm.76.13OpenAlexW4226523314MaRDI QIDQ5083821

Shotaro Kawata, Masatoshi Noumi

Publication date: 21 June 2022

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2206/kyushujm.76.13

zbMATH Keywords

central elementJacobi-Trudi formulaclassical Lie algebrahigher Capelli element

Mathematics Subject Classification ID

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

Related Items (1)

THE DESCRIPTION OF THE CAPELLI ELEMENTS WITH A PARAMETER FOR CLASSICAL LIE ALGEBRAS IN TERMS OF SYMMETRIZED DETERMINANT

Cites Work

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• The Capelli identity, the double commutant theorem, and multiplicity-free actions
• Central elements in the universal enveloping algebras for the split realization of the orthogonal Lie algebras
• \(BC\)-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials
• Capelli identities for classical Lie algebras
• Schur functions: Theme and variations
• Capelli identities for the dual pair \((\text{O}_M,\text{Sp}_N)\)
• Quantum immanants and higher Capelli identities

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