The q-immanants and higher quantum Capelli identities

We construct central elements of the quantized enveloping algebra Uq(glₙ) parameterized by arbitrary Young diagrams, analogous to Okounkov's quantum immanants. We show that the Harish-Chandra images of the q-immanants coincide with the Schur polynomials. We also prove quantum analogues of the higher Capelli identities and derive Newton-type identities.