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Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

On pointed Hopf algebras of dimension $p^n$

Author(s): M. Beattie; S. Dascalescu; L. Grünenfelder
Journal: Proc. Amer. Math. Soc. 128 (2000), 361-367.
MSC (1991): Primary 16W30
Posted: July 6, 1999
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Abstract | References | Similar articles | Additional information

Abstract: In this note we describe nonsemisimple Hopf algebras of dimension $p^n$ with coradical isomorphic to $kC$, $C$ abelian of order $p^{n-1}$, over an algebraically closed field $k$ of characteristic zero. If $C$ is cyclic or $C=(C_p)^{n-1}$, then we also determine the number of isomorphism classes of such Hopf algebras.


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Additional Information:

M. Beattie
Affiliation: Department of Mathematics and Computer Science, Mount Allison University, Sackville, New Brunswick, Canada E4L 1E6
Email: mbeattie@mta.ca

S. Dascalescu
Affiliation: Faculty of Mathematics, University of Bucharest, Str. Academiei 14, RO-70109 Bucharest 1, Romania
Email: sdascal@al.math.unibuc.ro

L. Grünenfelder
Affiliation: Department of Mathematics, Statistics and Computing Science, Dalhousie University, Halifax, Nova Scotia, Canada B3H 3J5
Email: Luzius@mscs.dal.ca

DOI: 10.1090/S0002-9939-99-04996-5
PII: S 0002-9939(99)04996-5
Received by editor(s): October 7, 1997
Received by editor(s) in revised form: April 3, 1998
Posted: July 6, 1999
Additional Notes: The first and third authors research was partially supported by NSERC
Communicated by: Ken Goodearl
Copyright of article: Copyright 1999, American Mathematical Society


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