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Yangians and Capelli identities

Maxim Nazarov
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Abstract

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

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Maxim Nazarov. 1996-09-30. Yangians and Capelli identities. https://arxiv.org/abs/q-alg/9601027

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