A generalization of the Capelli identity

arxiv: math/0610799 · v1 · submitted 2006-10-26 · 🧮 math.QA · math.RT

A generalization of the Capelli identity

E. Mukhin , V. Tarasov , A. Varchenko This is my paper

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keywords capelligeneralizationidentityactionsapplicationbethedualityisomorphism

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We prove a generalization of the Capelli identity. As an application we obtain an isomorphism of the Bethe subalgebras actions under the (gl(N),gl(M)) duality.

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A generalization of the Capelli identity

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