2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/88101We extend the Capelli identities (1890) from the Lie algebra $gl_N$ to the other two classical Lie algebras $so_N$ and $sp_N$. We employ the theory of reductive dual pairs due to Howe. Our technique comes from the representation theory of Yangians.34 pages, AmS-TeX, the final versionQuantum Algebratext