Abstract
Associated to the standard SU q (n) R-matrices, we introduce quantum spheresS 2n-1q , projective quantum spaces ℂℙ n-1 q , and quantum Grassmann manifoldsG k(ℂ n q ). These algebras are shown to be homogeneous spaces of standard quantum groups and are also quantum principle bundles in the sense of T. Brzeziński and S. Majid.
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References
Brzeziński, T. and Majid, S.:Comm. Math. Phys. 157, 591 (1993).
Chari, V. and Pressley, A.:A Guide to Quantum Groups, CUP, Cambridge, 1994.
Lakshmibai, V. and Reshetikhin, N.:CR Acad. Sci. Paris I 313 (3), 121 (1991).
Majid, S.:Internat. J. Modern Phys. A 5, 1 (1990).
Majid, S.: M.-L. Ge and H. J. de Vega (eds),Proc. 5th Nankai Workshop, World Scientific, Singapore, 1992.
Majid, S.:J. Math. Phys. 34, 1176 (1993).
Majid, S.:Foundations of Quantum Group Theory, CUP, Cambridge (to be published).
Podle\(\begin{array}{*{20}c} ` \\ s \\ \end{array} \), P.:Lett. Math. Phys. 14, 193 (1987).
Reshetikhin, N., Takhtadzhyan, L., and Faddeev, L.:Leningrad Math. J. 1(1), 193 (1990).
Taft, E. and Towber, J.:J. Algebra 142, 1 (1991).
Woronowicz, S. L.:Publ. RIMS 23, 117 (1987).