UNITARY QUANTUM GROUPS, QUANTUM PROJECTIVE SPACES AND Q-OSCILLATORS
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, cilt.59, sa.1, ss.99-103, 1993 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 59 Sayı: 1
- Basım Tarihi: 1993
- Doi Numarası: 10.1007/bf01555843
- Dergi Adı: ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.99-103
- Yıldız Teknik Üniversitesi Adresli: Hayır
Özet
We discuss the parametrization of quantum groups in terms of independent operators. We find that this consideration leads to the parametrization of SU(q)(2) in terms of a q-oscillator plus a commuting phase. The commuting phase is naturally identified with the subgroup U(1)and the remaining coset SU(q)(2)/U(1)=CP(q)(1) consists of a q-oscillator. For unitary quantum groups SU(q)(n), the analogous construction results in the quantum projective space SU(q)(n + 1)/U(q)(n)=CP(q)(n) being identified with the n-dimensional q-oscillator. This yields a nonlinear action of the quantum group SU(q)(n + 1) on the n-dimensional q-oscillator.