dorsal/arxiv
View SchemaFermion Representation of Quantum Group
| Authors | Minoru Hirayama, Shiori Kamibayashi |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9612024 |
| URL | https://arxiv.org/abs/q-alg/9612024 |
| DOI | 10.1143/PTP.97.691 |
Abstract
The spinor representation of the quantum group $U_q(su(N))$ is given in terms of a set of fermion creation and annihilation operators. It is shown that the $q$-fermion operators introduced earlier can be identifi ed with the conventional fermion operators. Algebra homomorphisms mapping the fermion operators to their t ensor products are discussed. The relation of the coproduct of the quantum group to the above algebra homo morphisms is obtained.
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"abstract": "The spinor representation of the quantum group $U_q(su(N))$ is given in terms\nof a set of fermion creation and annihilation operators. It is shown that the\n$q$-fermion operators introduced earlier can be identifi ed with the\nconventional fermion operators. Algebra homomorphisms mapping the fermion\noperators to their t ensor products are discussed. The relation of the\ncoproduct of the quantum group to the above algebra homo morphisms is obtained.",
"arxiv_id": "q-alg/9612024",
"authors": [
"Minoru Hirayama",
"Shiori Kamibayashi"
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"doi": "10.1143/PTP.97.691",
"title": "Fermion Representation of Quantum Group",
"url": "https://arxiv.org/abs/q-alg/9612024"
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