UNITARY QUANTUM GROUPS, QUANTUM PROJECTIVE SPACES AND Q-OSCILLATORS

被引:9
作者
ARIK, M
CELIK, S
机构
[1] MIMAR SINAN UNIV,DEPT MATH,ISTANBUL,TURKEY
[2] ISTANBUL TECH UNIV,DEPT MATH,ISTANBUL,TURKEY
来源
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS | 1993年 / 59卷 / 01期
关键词
D O I
10.1007/BF01555843
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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.
引用
收藏
页码:99 / 103
页数:5
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