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Original Articles

Coalgebra extensions and algebra coextensions of galois type

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Pages 1347-1367 | Received 01 Oct 1997, Published online: 27 Jun 2007

References

  • Brzezinski , T. 1996 . Translation map in quantum principal bundles . J. Geom. Phys , 20 : 349 – 370 . hep-th/9407145
  • Brzeziński , T. 1996 . Quantum homogeneous spaces as quantum quotient spaces . J. Math. Phys , 37 : 2388 – 2399 . q-alg/9509015
  • Brzeziński T. On modules associated to coalgebra Galois extensions 1997 Preprint, DAMTP/97-142, q-alg/9712023
  • Brzezinski , T. and Majid , S. 1993 . Quantum group gauge theory on quantum spaces . Commun. Math. Phys , 157 : 591 – 638 . Erratum 167:235, (1995). (hep-th/9208007)
  • Brzeziński , T. and Majid , S. 1998 . Coalgebra bundles . Commun. Math. Phys , 191 : 467 – 492 .
  • Brzeziński T. Majid S. Quantum differentials and the q-monopole revisited 1997 Preprint DAMTP/97-60q-alg/9706021
  • Dijkhuizen , M.S. and Koornwinder , T. 1994 . Quantum homogeneous spaces duality and quantum 2-spheres . Geom. Dedicata , 52 : 291 – 315 .
  • Doi , Y. 1983 . On the structure of relative Hopf modules . Commun. Alg , 11 : 243 – 255 .
  • Hajac , P.M. 1996 . Strong connections on quantum principal bundles . Commun. Math. Phys , 182 : 579 – 617 .
  • Majid , S. 1990 . Physics for algebraists: Non-commutative and non-cocommu-tative Hopf algebras by a bicrossproduct construction . J. Algebra , 130 : 17 – 64 .
  • Majid , S. . Advances in quantum and braided geometry . Quantum Group Symposium at Group 21 . Edited by: Doebner , H.-D and Dobrev , V.K. pp. 11 – 26 . Sofia : Heron Press . q-alg/9610003
  • Montgomery , S. 1993 . Hopf Algebras and Their Actions on Rings , AMS .
  • Podleś , P. 1987 . Quantum spheres . Lett. Math. Phys , 14 : 193 – 202 .
  • Schauenburg , P. 1994 . Hopf modules and Yetter-Drinfel’d modules . J. Algebra , 169 : 874 – 890 .
  • Schneider , H.-J . 1990 . Principal homogeneous spaces for arbitrary Hopf algebras . Isr. J. Math , 72 : 167 – 195 .
  • Schneider , H.-J . 1990 . Representation theory of Hopf-Galois extensions . Isr. J. Math , 72 : 196 – 231 .
  • Schneider , H.-J . 1992 . Normal basis and transitivity of crossed products for Hopf algebras . J. Algebra , 152 : 289 – 312 .
  • Schneider , H.-J . 1993 . Some remarks on exact sequences of quantum groups . Comm. Alg , 21 ( 9 ) : 3337 – 3357 .
  • Takeuchi M. Private communication 1997
  • Sweedler , M.E. 1969 . Hopf Algebras , New York : W.A.Benjamin .
  • Woronowicz , S.L. 1989 . Differential calculus on compact matrix pseudogroups (quantum groups) . Commun. Math. Phys , 122 : 125 – 170 .
  • Yetter , D.N. 1990 . Quantum groups and representations of monoidal categories . Math. Proc. Camb. Phil. Soc , 108 : 261 – 290 .

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