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Capelli Identities for Classical Lie Algebras

Alexander Molev·Maxim Nazarov
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Abstract

We extend the Capelli identities (1890) from the Lie algebra $gl_N$ to the other two classical Lie algebras $so_N$ and $sp_N$. We employ the theory of reductive dual pairs due to Howe. Our technique comes from the representation theory of Yangians.

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Alexander Molev, Maxim Nazarov. 1999-02-25. Capelli Identities for Classical Lie Algebras. https://arxiv.org/abs/q-alg/9712021

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