60
Views
19
CrossRef citations to date
0
Altmetric
Original Articles

Some further classification results on semisimple hopf algebras

Pages 307-329 | Received 01 Feb 1995, Published online: 27 Jun 2007

References

  • Fukuda , N. Semisimple Hopf algebras of dimension 12 , preprint : Shimane University .
  • James , G. and Liebeck , M. 1993 . Representations and Characters of Groups , London : Cambridge Univ. Press .
  • Larson , R. and Radford , D. 1988 . Finite dimensional cosemisimple Hopf algebras in characteristic 0 are semisimple . J. Algebra , 117 : 267 – 289 .
  • Larson , R. and Radford , D. 1987 . Semisimple cosemisimple Hopf algebras . Amer. J. Math , 109 : 187 – 195 .
  • Larson , R. and Radford , D. 1987 . Semisimple Hopf algebras . J. Algebra , 109 to appear
  • Masuoka , A. 1992 . Freeness of Hopf algebras over coideal subalgebras . Comm. Algebra , 20 ( 5 ) : 1353 – 1373 .
  • Masuoka , A. 1994 . Coideal subalgebras in finite Hopf algebras . J. Algebra , 163 ( 5 ) : 819 – 831 .
  • Masuoka , A. in press . Semisimple Hopf algebras of dimension . Israel J. Math ,
  • Masuoka , A. 1994 . Selfdual Hopf algebras of dimension p43 obtained by extension . J. Algebra , 6 ( 8 ) submitted
  • Masuoka , A. The pn theorem for semisimple Hopf algebras . Proc. AMS . to appear
  • Masuoka , A. 1995 . Semisimple Hopf algebras of dimension 2p . Comm. Algebra , 23 ( 5 ) : 1931 – 1940 .
  • Masuoka , A. and Doi , Y. 1992 . Generalization of cleft comodule algebras . Comm. Algebra , 20 ( 12 ) : 3703 – 3721 .
  • Montgomery , S. 1993 . Hopf Algebras and Their Actions on Rings , Vol. 82 , CBMS . AMS
  • Nichols , W. and Zoeller , M. 1989 . A Hopf algebra freeness theorem . Amer. J. Math , 111 : 381 – 385 .
  • Radford , D. 1985 . The structure of Hopf algebras with a projection . J. Algebra , 92 : 322 – 347 .
  • Schneider , H.-J . 1992 . Normal basis and transitivity of crossed products for Hopf algebras . J. Algebra , 152 : 289 – 312 .
  • Sweedler , M. 1969 . Hopf Algebras , New York : Benjamin .
  • Takeuchi , M. 1981 . Matched pairs of groups and bismash products of Hopf algebras . Comm. Algebra , 9 ( 8 ) : 841 – 882 .
  • Shenglin , Zhu . 1993 . On finite dimensional semisimple Hopf algebras . Comm. Algebra , 21 ( 11 ) : 3871 – 3885 .
  • Yonchang , Zhu . 1994 . Hopf algebras of prime dimension . Inter.national Mathematical Research Notices , l ( 11 ) : 53 – 59 .

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.