dorsal/arxiv
View SchemaAn Alternative to the Chevalley Description of U[sl(n+1)] and U_q[sl(n+1)]
| Authors | Tchavdar D. Palev, Preeti Parashar |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9608024 |
| URL | https://arxiv.org/abs/q-alg/9608024 |
| Journal | Lett.Math.Phys. 43 (1998) 7-19 |
Abstract
An alternative to the Chevalley description of Lie algebra sl(n+1), of its universal enveloping algebra U[sl(n+1)] and of its q-deformed analogue U_q[sl(n+1)] in terms of generators, called creation and annihilation generators (CAGs), and relations is given. It is indicated (without further discussions) that the representations of the CAGs describe new quantum statistics, which is a particular case of the Haldane exclusion statistics.
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"abstract": "An alternative to the Chevalley description of Lie algebra sl(n+1), of its\nuniversal enveloping algebra U[sl(n+1)] and of its q-deformed analogue\nU_q[sl(n+1)] in terms of generators, called creation and annihilation\ngenerators (CAGs), and relations is given. It is indicated (without further\ndiscussions) that the representations of the CAGs describe new quantum\nstatistics, which is a particular case of the Haldane exclusion statistics.",
"arxiv_id": "q-alg/9608024",
"authors": [
"Tchavdar D. Palev",
"Preeti Parashar"
],
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"hep-th",
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"journal_ref": "Lett.Math.Phys. 43 (1998) 7-19",
"title": "An Alternative to the Chevalley Description of U[sl(n+1)] and U_q[sl(n+1)]",
"url": "https://arxiv.org/abs/q-alg/9608024"
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