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Original Articles

The Equivariant Brauer Group of a Cocommutative Hopf Algebra

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Pages 4161-4194 | Received 27 Oct 2011, Published online: 25 Aug 2013

REFERENCES

  • Beattie , M. ( 1976 ). A direct sum decomposition for the Brauer group of H-module algebras . Journal of Algebra 43 : 686 – 693 .
  • Caenepeel , S. ( 1998 ). Brauer Groups, Hopf Algebras and Galois Theory. K-Monographs in Mathematics . Dordrecht : Kluwer Academic Publishers .
  • Caenepeel , S. , Grandjean , F. ( 1998 ). A note on Taylor's Brauer group . Pacific Journal of Mathematics 186 ( 1 ): 13 – 27 .
  • Caenepeel , S. , Van Oystaeyen , F. , Zhang , Y. H. ( 2005 ). The equivariant Brauer group of a group . Proceedings of the American Mathematical Society 134 ( 4 ): 959 – 972 .
  • DeMeyer , F. , Ingraham , E. ( 1971 ). Separable Algebras over Commutative Rings . Vol. 181 . Lecture Notes in Mathematics . Springer-Verlag .
  • Drabant , B. , Van Daele , A. ( 2001 ). Pairing and quantum double of multiplier Hopf algebras . Algebras and Representation Theory 4 ( 2 ): 109 – 132 .
  • Drabant , B. , Van Daele , A. , Zhang , Y. H. ( 1999 ). Actions of multiplier Hopf algebras . Communications in Algebra 27 ( 9 ): 4117 – 4172 .
  • Janssen , K. , Vercruysse , J. ( 2010 ). Multiplier Hopf and bi-algebras . Journal of Algebra and Its Applications 9 ( 2 ): 275 – 303 .
  • Larson , R. G. ( 1976 ). Hopf algebra orders determined by group valuations . Journal of Algebra 38 : 414 – 452 .
  • Long , F. W. ( 1974 ). The Brauer group of dimodule algebras . Journal of Algebra 31 : 559 – 601 .
  • Menini , C. , Torrecillas , B. , Wisbauer , R. ( 2001 ). Strongly rational comodules and semiperfect Hopf algebras over QF rings . Journal of Pure and Applied Algebra 155 ( 2 ): 237 – 255 .
  • Roberts , L. ( 2011 ). The flat cohomology of group schemes of rank p . American Journal of Mathematics. 95 ( 3 ): 688 – 702 .
  • Tate , J. , Oort , F. (1970). Group schemes of prime order. Annales Scientifiques de l'Ecole Normale Superieure 4e série 3:1–21.
  • Taylor , J. L. ( 1982 ). A bigger Brauer group . Pacific Journal of Mathematics 103 ( 1 ): 163 – 203 .
  • Underwood , R. ( 2011 ). The group of Galois extensions over orders in KC p 2 . Transactions of the American Mathematical Society 349 ( 4 ): 1503 – 1514 .
  • Van Daele , A. ( 1994 ). Multiplier Hopf algebras . Transactions of the American Mathematical Society 342 ( 2 ): 917 – 932 .
  • Van Daele , A. ( 1998 ). An algebraic framework for group duality . Advances in Mathematics 140 : 323 – 366 .
  • Van Daele , A. , Zhang , Y. H. ( 1999 ). Galois theory for multiplier Hopf algebras with integrals . Algebras and Representation Theory 2 ( 1 ): 83 – 106 .
  • Zhang , Y. H. ( 1999 ). The quantum double of a coFrobenius Hopf algebra . Communications in Algebra 27 ( 3 ): 1413 – 1427 .
  • Zhang , Y. H. ( 2004 ). An exact sequence for the Brauer group of a finite quantum group . Journal of Algebra 272 ( 1 ): 321 – 378 .
  • Communicated by M. Cohen. *Aspirant van het FWO-Vlaanderen.

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