dorsal/arxiv
View SchemaQuantum Immanants and Higher Capelli Identities
| Authors | Andrei Okounkov |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9602028 |
| URL | https://arxiv.org/abs/q-alg/9602028 |
| Journal | Transformation Groups, 1 (1996), 99--126 |
Abstract
We consider remarkable central elements of the universal enveloping algebra of the general linear algebra which we call quantum immanants. We express them in terms of generators $E_{ij}$ and as differential operators on the space of matrices. These expressions are a direct generalization of the classical Capelli identities. They result in many nontrivial properties of quantum immanants.
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"abstract": "We consider remarkable central elements of the universal enveloping algebra\nof the general linear algebra which we call quantum immanants. We express them\nin terms of generators $E_{ij}$ and as differential operators on the space of\nmatrices. These expressions are a direct generalization of the classical\nCapelli identities. They result in many nontrivial properties of quantum\nimmanants.",
"arxiv_id": "q-alg/9602028",
"authors": [
"Andrei Okounkov"
],
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"journal_ref": "Transformation Groups, 1 (1996), 99--126",
"title": "Quantum Immanants and Higher Capelli Identities",
"url": "https://arxiv.org/abs/q-alg/9602028"
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