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

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

We propose a unified method for constructing higher Capelli elements for the classical Lie algebras. The higher Capelli elements are obtained as the Jacobi-Trudi determinants of central elements attached to partitions of single columns.