## Yangians and Capelli identities

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Title of host publication | Kirillov's Seminar on Representation Theory |
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Date | Published - 1998 |
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Pages | 139-164 |
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Number of pages | 26 |
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Publisher | American Mathematical Society |
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Editors | G.I. Olshanski |
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Volume | 181 |
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Edition | 2 |
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Original language | English |
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ISBN (Print) | 0-8218-0669-6, 978-0-8218-0669-2 |
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Name | American Mathematical Society Translations |
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Publisher | American Mathematical Society |
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Number | 2 |
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Volume | 181 |
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ISSN (Print) | 0065-9290 |
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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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