dorsal/arxiv
View SchemaCapelli Identities for Classical Lie Algebras
| Authors | Alexander Molev, Maxim Nazarov |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9712021 |
| URL | https://arxiv.org/abs/q-alg/9712021 |
| Journal | Math. Ann. 313 (1999), 315-357 |
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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"abstract": "We extend the Capelli identities (1890) from the Lie algebra $gl_N$ to the\nother two classical Lie algebras $so_N$ and $sp_N$. We employ the theory of\nreductive dual pairs due to Howe. Our technique comes from the representation\ntheory of Yangians.",
"arxiv_id": "q-alg/9712021",
"authors": [
"Alexander Molev",
"Maxim Nazarov"
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"journal_ref": "Math. Ann. 313 (1999), 315-357",
"title": "Capelli Identities for Classical Lie Algebras",
"url": "https://arxiv.org/abs/q-alg/9712021"
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