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Original Articles

Cleft extensions in braided categories

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Pages 3185-3196 | Received 01 Feb 1999, Published online: 27 Jun 2007

References

  • Alonso Alvarez , J.N. 1992 . “ Extensiones Cleft en categorías cerradas. Interpretación cohomológica ” . In Alxebra , Vol. 58 , Santiago de Compostela : Dpto de Alxebra .
  • Bespalov , Y. 1997 . Crossed modules and quantum groups in braided categories . Applied Categorical structures , 5 : 155 – 204 .
  • Bespalov Y. Drabant B. Cross product bialgebras Part I. math QA/9802028
  • Bespalov Y. Drabant B. Cross product bialgebras Part II. math QA/9904142
  • Bespalov , Y. and Drabant , B. 1998 . Hopf (bi-)modules and crossed modules in braided categories . J. Pure Appl. Alg , 123 : 105 – 129 .
  • Blattner , R.J. , Cohen , M. and Montgomery , S. 1986 . Crossed products and inner actions of Hopf algebras . Transactions of the A.M.S , 298 : 671 – 711 .
  • Blattner , R.J. and Montgomery , S. 1989 . Crossed products and Galois extensions of Hopf algebras . Pac. J. of Math , 137 ( 1 ) : 37 – 54 .
  • Dascalescu , S. , Militaru , G. and Raianu , S. 1996 . Crossed coproducts and Cleft coextensions . Comm. in Algebra , 24 ( 4 ) : 1229 – 1243 .
  • Doi , Y. and Takeuchi , M. 1986 . Cleft comodule algebras for a bialgebra . Comm. in Algebra , 14 ( 4 ) : 801 – 817 .
  • Hofstetter , I. 1994 . Extensions of Hopf algebras and their cohomological description . J. of Algebra , 164 ( 4 ) : 264 – 298 .
  • Joyal , A. and Street , R. 1993 . Braided tensor categories . Advances in Mathematics , 102 ( 4 ) : 20 – 78 .
  • Maclane , S. 1971 . “ Categories for the working mathematician ” . In G.T.M , Vol. 5 , Springer .
  • Majid , S. 1993 . Braided groups . J. of Pure and Applied Algebra , 86 : 187 – 221 .
  • Majid , S. 1993 . Braided matrix structure of the Sklyanin algebra and of the quantum Lorentz group . Comm. Math. Phys , 156 : 607 – 638 .
  • Majid , S. 1994 . “ Algebras and Hopf algebras in braided categories ” . In Advances in Hopf algebras, Lecture Notes in Pure and Applied Math , Vol. 158 , 55 – 105 . Marcel Dekker .
  • Masuoka , A. and Doi , Y. 1992 . Generalization of Cleft comodule algebras . Comm. in Algebra , 20 : 3703 – 3721 .
  • Masuoka , A. 1994 . Quotient theory of Hopf algebras . Advances in Hopf Algebras , 158 : 107 – 134 . Lect. Notes in pure and applied Math
  • Montgomery , S. 1993 . Hopf algebras and their actions on rings , Providence : A.M.S .
  • Radford , D.E. 1985 . The structure of Hopf algebras with a projection . J. of Algebra , 92 : 322 – 347 .

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