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Yangians and Capelli identities

Maxim Nazarov

q-algarXiv:q-alg/9601027

Abstract

We study the image of the universal R-matrix for the Yangian Y(glN) with respect to the evaluation homomorphism of Y(glN) to the enveloping algebra U(glN). 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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