Fermion Representation of Quantum Group
The spinor representation of the quantum group U q (s u(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 identified with the conventional fermion operators. Algebra homomorphisms mapping the fermion oper...
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| Veröffentlicht in: | Progress of theoretical and experimental physics 1997-04, Vol.97 (4), p.691-702 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | The spinor representation of the quantum group U
q
(s
u(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 identified with the conventional fermion operators. Algebra homomorphisms mapping the fermion operators to their tensor products are discussed. The relation of the coproduct of the quantum group to the above algebra homomorphisms is obtained. |
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| ISSN: | 0033-068X 2050-3911 1347-4081 |
| DOI: | 10.1143/PTP.97.691 |