Summary
We prove a generalization of the Capelli identity. As an application we obtain an isomorphism of the Bethe subalgebras actions under the \(({g l}_{N},{g l}_{M})\) duality.
2000 Mathematics Subject Classifications: 17B80, 22E45
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To Yuri Ivanovich Manin on the occasion of his 70th birthday, with admiration
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Mukhin, E., Tarasov, V., Varchenko, A. (2009). A Generalization of the Capelli Identity. In: Tschinkel, Y., Zarhin, Y. (eds) Algebra, Arithmetic, and Geometry. Progress in Mathematics, vol 270. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4747-6_12
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DOI: https://doi.org/10.1007/978-0-8176-4747-6_12
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