Yangians and Capelli identities

Abstract

We study the image of the universal $R$-matrix for the Yangian $Y(g{l}_N)$ with respect to the evaluation homomorphism of $Y(g{l}_N)$ to the enveloping algebra $U(g{l}_N)$. We use the fusion procedure as defined by I. Cherednik. As a corollary we get a generalization of the classical Capelli identity.

arXiv commentAMS-TeX 2.1, 26 pages, misprints corrected