dorsal/arxiv
View SchemaYoung Basis, Wick Formula, and Higher Capelli Identities
| Authors | Andrei Okounkov |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9602027 |
| URL | https://arxiv.org/abs/q-alg/9602027 |
| Journal | Internat. Math. Res. Notices, 17 (1996), 817--839 |
Abstract
We prove Capelli type identities which involve the whole universal enveloping algebra $U(gl(n))$ and matrix elements of irreducible representations of the symmetric group. These identities generalize higher Capelli identities for the center of $U(gl(n))$ introduced in the author's paper \cite{Ok}. The main role in the proof play the Jucis-Murphy elements.
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"abstract": "We prove Capelli type identities which involve the whole universal enveloping\nalgebra $U(gl(n))$ and matrix elements of irreducible representations of the\nsymmetric group. These identities generalize higher Capelli identities for the\ncenter of $U(gl(n))$ introduced in the author\u0027s paper \\cite{Ok}. The main role\nin the proof play the Jucis-Murphy elements.",
"arxiv_id": "q-alg/9602027",
"authors": [
"Andrei Okounkov"
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"journal_ref": "Internat. Math. Res. Notices, 17 (1996), 817--839",
"title": "Young Basis, Wick Formula, and Higher Capelli Identities",
"url": "https://arxiv.org/abs/q-alg/9602027"
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