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

DOI10.2206/kyushujm.77.43OpenAlexW4387656428MaRDI QIDQ6091034

Shotaro Kawata

Publication date: 23 November 2023

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

Full work available at URL: https://doi.org/10.2206/kyushujm.77.43

zbMATH Keywords

central elementclassical Lie algebrahigher Capelli element

Mathematics Subject Classification ID

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

Cites Work

• Central elements in the universal enveloping algebras for the split realization of the orthogonal Lie algebras
• Capelli identities for the dual pair \((\text{O}_M,\text{Sp}_N)\)
• Quantum immanants and higher Capelli identities
• Extensions of the Tensor Algebra and Their Applications
• JACOBI-TRUDI FORMULA FOR THE HIGHER CAPELLI ELEMENTS OF CLASSICAL LIE ALGEBRAS
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