63
Views
14
CrossRef citations to date
0
Altmetric
Original Articles

Clifford-type algebras as cleft extensions for some pointed hopf algebras

&
Pages 585-600 | Received 01 Aug 1998, Published online: 27 Jun 2007

References

  • Andruskiewitsch N. Schneider H.-J. Lifting of quantum linear spaces and pointed Hopf algebras of order p3 preprint
  • Beattie , M. , D[acaron]sc[acaron]lescu , S. and Guünenfelder , L. 1997 . Constructing pointed Hopf algebras by Ore extensions preprint
  • Bergman , G.M. 1978 . The Diamond Lemma for ring theory . Adv. Math , 29 : 178 – 218 .
  • Blattner , R.J. , Cohen , M. and Montgomery , S. 1986 . Crossed products and inner actions of Hopf algebras . Trans. AMS , 298 : 671 – 711 .
  • Caenepeel S. D[acaron]sc[acaron]lescu S. On pointed Hopf algebras of dimension 2n Bull. London Math. Soc to appear
  • Doi , Y. and Takeuchi , M. 1995 . Quaternion algebras and Hopf crossed products . Comm. Algebra , 23 ( 9 ) : 3291 – 3325 .
  • Doi , Y. and Takeuchi , M. 1986 . Cleft comodule algebras for a bialgebra . Comm. Algebra , 14 ( 9 ) : 801 – 817 .
  • Fishman , D. and Montgomery , S. 1994 . A Schur double centralizer theorem for cotriangular Hopf algebras and generalized Lie algebras . J. Algebra , 168 ( 9 ) : 594 – 614 .
  • Gelaki , S. 1996 . On pointed ribbon Hopf algebras . J. Algebra , 181 ( 9 ) : 760 – 786 .
  • Günter , R. 1998 . Crossed products for pointed Hopf algebras preprint
  • Majid , S. 1994 . Cross products by braided groups and bosonization . J. Algebra , 163 : 165 – 190 .
  • Masuoka , A. 1994 . Cleft extensions for a Hopf algebra generated by a nearly primitive element . Comm. Algebra , 22 ( 11 ) : 4537 – 4559 .
  • Montgomery , S. . “Hopf algebras and their actions on rings” . CBMS Regional Conference Series in Mathematics 82 . Providence, R.I. AMS .
  • Panaite , F. and Van Oystaeyen , F. 1998 . Quasitriangular structures for some pointed Hopf algebras of dimension 2n preprint
  • Radford , D.E. 1994 . “ On Kauffman’s knot invariants arising from finite dimensional Hopf algebras ” . In “Advances in Hopf algebras” , Edited by: Bergen , J. and Montgomery , S. Vol. 158 , 205 – 266 . New York : Marcel Dekker . Lecture Notes in Pure and Appl.Math
  • Radford , D.E. 1990 . The group of automorphisms of a semisimple Hopf algebra over a field of characteristic 0 is finite . Amer. J. Math , 112 : 331 – 357 .
  • Radford , D.E. 1985 . The structure of Hopf algebras with a projection . J. Algebra , 92 : 322 – 347 .
  • Schauenburg P. Galois objects over normal quotients of twisted product Hopf algebras with an application to Uq(sl2) preprint
  • Staic , D.M. 1998 . Fibred crossed products preprint
  • Sweedler , M.E. 1969 . Hopf algebras , New York : Benjamin .
  • Turtoi , A. 1989 . Applications of algebra and geometry to the theory of spinors Edited by: Tehnica . Bucharest

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.