Yangians and Capelli identities

Maxim Nazarov

Yangians and Capelli identities

Mathematics

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

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.

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

Publication series

Name	American Mathematical Society Translations
Publisher	American Mathematical Society
Number	2
Volume	181
ISSN (Print)	0065-9290

Access to Document

http://arxiv.org/abs/q-alg/9601027

Cite this

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AB - 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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SN - 978-0-8218-0669-2

VL - 181

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BT - Kirillov's Seminar on Representation Theory

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PB - American Mathematical Society

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