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Hopf subalgebras of pointed Hopf algebras and applications

Author(s): D. Stefan
Journal: Proc. Amer. Math. Soc. 125 (1997), 3191-3193.
MSC (1991): Primary 16W30
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Abstract: In this paper we construct certain Hopf subalgebras of a pointed Hopf algebra over a field of characteristic 0. Some applications are given in the case of Hopf algebras of dimension 6, $p^2$ and $pq$ , where $p$ and $q$ are different prime numbers.

References:

1.: A. Masuoka, Semisimple Hopf algebras of dimension 6 and 8, Israel J. Math. (to appear).
2.: S. Montgomery, Hopf algebras and their actions on rings, CBMS Regional Conference Series in Mathematics, Vol. 82, Amer. Math. Soc., Providence, RI, 1993. MR 94i:16019
3.: D. Radford, On Kauffman's knot invariants arising from finite-dimensional Hopf algebras, Advances in Hopf Algebras, Lecture Notes in Pure and Applied Mathematics, vol. 158, Marcel Dekker, New York, 1994. MR 96g:57013
4.: R. Williams, Ph.D. thesis (unpublished), Florida State University, 1988.


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