Commutator Hopf Subalgebras and Irreducible Representations

REFERENCES

• Andruskiewitsch , N. ( 1996 ). Notes on extensions of Hopf algebras . Can. J. Math. 48 : 3 – 42 .
   Web of Science ®Google Scholar
• Blattner , R. , Montgomery , S. ( 1989 ). Crossed products and Galois extensions of Hopf algebras . Pacific J. Math. 137 : 37 – 54 .
   Web of Science ®Google Scholar
• Curtis , C. , Reiner , I. ( 1962 ). Representation Theory of Finite Groups and Associative Algebras . Pure and Applied Mathematics . Vol 11 . New York : Interscience (Wiley) .
   Google Scholar
• Etingof , P. , Gelaki , S. ( 1998a ). On finite dimensional semisimple and cosemisimple Hopf algebras in positive characteristic . International Mathematics Research Notices 1998 ( 16 ): 851 – 864 .
   Google Scholar
• Etingof , P. , Gelaki , S. ( 1998b ). Some properties of finite-dimensional semisimple Hopf algebras . Math. Res. Lett. 5 : 191 – 197 .
   Web of Science ®Google Scholar
• Kaplansky , I. ( 1975 ). Bialgebras . Lecture Notes in Mathematics Department of Mathematics . Chicago: University of Chicago .
   Google Scholar
• Kashina , Y. , Mason , G. , Montgomery , S. ( 2002 ). Computing the Frobenius-Schur indicator for abelian extensions of Hopf algebras . J. Algebra 251 : 888 – 913 .
   Google Scholar
• Letzter , E. S. ( 1999 ). Noetherian centralizing Hopf algebra extensions and finite morphisms of quantum groups . Bull. London Math. Soc. 31 : 523 – 530 .
   Google Scholar
• Letzter , E. S. (2003). Prime and primitive ideals in graded deformations of algebraic quantum groups at roots of unity. Alg. Represent. Theory 6:47–70.
   Google Scholar
• Montgomery , S. ( 1993 ). Hopf Algebras and Their Actions on Rings . CBMS Regional Conference Series in Mathematics 82 . Providence : Amer. Math. Soc .
   Google Scholar
• Montgomery , S. , Witherspoon , S. ( 1998 ). Irreducible representations of crossed products . J. Pure Appl. Algebra 129 : 315 – 326 .
   Web of Science ®Google Scholar
• Robinson , D. J. S. ( 1996 ). A Course in the Theory of Groups. , 2nd ed. Graduate Texts in Mathematics 80 . New York: Springer .
   Google Scholar
• Communicated by M. Cohen.
   Google Scholar