DERIVATIONS WITH QUANTUM GROUP ACTION

REFERENCES

• Woronowicz , S.L. 1989 . Differential Calculus on Compact Matrix Pseudogroups (Quantum Groups) . Comm. Math. Phys. , 122 : 125 – 170 .
   Web of Science ®Google Scholar
• Sweedler , M.E. 1969 . Hopf algebras New York : W.A. Benjamin .
   Google Scholar
• Podles´ , P. 1989 . Differential Calculus on Quantum Spheres . Lett. Math. Phys. , 18 : 107 – 119 .
   Web of Science ®Google Scholar
• Podles´ , P. 1992 . The Classification of Differential Structures on Quantum 2-spheres . Comm. Math. Phys. , 150 : 167 – 179 .
   Web of Science ®Google Scholar
• Noumi, M.; Sugitani, T. Quantum Symmetric Spaces and Related q-orthogonal Polynomials. In Group Theoretical Methods in Physics; Arima A. et al. Proceedings XX ICGTMP, Toyonaka (Japan) 1994; World Scientific Singapore, 1995; 28–40, math/ 9503225
   Google Scholar
• Dijkhuizen , M.S. 1996 . Some Remarks on the Construction of Quantum Symmetric Spaces . Acta Appl. Math. , 44 : 59 – 80 . math.QA/ 9512225
   Web of Science ®Google Scholar
• Podles´ , P. 1987 . Quantum Spheres . Lett. Math. Phys. , 14 : 193 – 202 .
   Web of Science ®Google Scholar
• Apel , J. and Schmüdgen , K. 1994 . Classification of Three-dimensional Covariant Differential Calculi on Podles′ Quantum Spheres and on Related Spaces . Lett. Math. Phys. , 32 : 25 – 36 .
   Web of Science ®Google Scholar
• Hermisson , U. 1998 . Construction of Covariant Differential Calculi on Quantum Homogeneous Spaces . Lett. Math. Phys. , 46 : 313 – 322 . math.QA/ 9806008
   Web of Science ®Google Scholar
• Takeuchi , M. 1979 . Relative Hopf Modules—Equivalences and Freeness Criteria . J. Algebra , 60 : 452 – 471 .
   Web of Science ®Google Scholar
• Müller , E.F. and Schneider , H.-J. 1999 . Quantum Homogeneous Spaces with Faithfully Flat Module Structures . Israel J. Math. , 111 : 157 – 190 .
   Web of Science ®Google Scholar
• Stokman , J.V. and Dijkhuizen , M.S. 1999 . Quantized Flag Manifolds and Irreducible *-representations . Comm. Math. Phys. , 203 : 297 – 324 . math.QA/9802086
   Web of Science ®Google Scholar
• Reshetikhin , N.Yu , Takhtadzhyan , L.A. and Faddeev , L.D. 1990 . Quantization of Lie Groups and Lie Algebras . Leningrad Math. J. , 1 : 193 – 225 .
   Google Scholar
• Müller , E.F. 1995 . “ Konstruktion von Rechtscoidealunteralgebren (in German) ” . Munich Degree Dissertation
   Google Scholar
• Müller, E.F. Private Communication, October 1998
   Google Scholar
• Dijkhuizen , M.S. and Koornwinder , T.H. 1994 . Quantum Homogeneous Spaces, Duality, and Quantum 2-spheres . Geom. Dedicata , 52 : 291 – 315 .
   Web of Science ®Google Scholar