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Proceedings of the American Mathematical Society

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Hopf subalgebras of pointed Hopf algebras
and applications

Author: D. Stefan
Journal: Proc. Amer. Math. Soc. 125 (1997), 3191-3193
MSC (1991): Primary 16W30
MathSciNet review: 1423335
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Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

  • 1. A. Masuoka, Semisimple Hopf algebras of dimension 6 and 8, Israel J. Math. (to appear).
  • 2. Susan Montgomery, Hopf algebras and their actions on rings, CBMS Regional Conference Series in Mathematics, vol. 82, Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 1993. MR 1243637
  • 3. David E. Radford, On Kauffman’s knot invariants arising from finite-dimensional Hopf algebras, Advances in Hopf algebras (Chicago, IL, 1992) Lecture Notes in Pure and Appl. Math., vol. 158, Dekker, New York, 1994, pp. 205–266. MR 1289427
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Additional Information

D. Stefan
Affiliation: Facultatea de Matematică, Universitatea Bucureşti, Str. Academiei 14, RO-70109 Bucharest 1, Romania

Keywords: Hopf algebras
Received by editor(s): December 4, 1995
Received by editor(s) in revised form: June 10, 1996
Communicated by: Ken Goodearl
Article copyright: © Copyright 1997 American Mathematical Society