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Classification of pointed rank one Hopf algebras

Abstract:

We classify pointed rank one Hopf algebras over fields of prime characteristic which are generated as algebras by the first term of the coradical filtration. We obtain three types of Hopf algebras presented by generators and relations. For Hopf algebras with semi-simple coradical only the first and second type appears. We determine the indecomposable projective modules for certain classes of pointed rank one Hopf algebras.

Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.jalgebra.2008.01.028

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author


Publisher:
Elsevier
Journal:
Journal of Algebra More from this journal
Volume:
319
Issue:
7
Pages:
2889-2912
Publication date:
2009-04-01
Edition:
Publisher's version
DOI:
ISSN:
0021-8693


Language:
English
Keywords:
Subjects:
UUID:
uuid:d7944d36-6272-4c01-8a61-839934e2eca4
Local pid:
ora:8586
Deposit date:
2014-06-11
ARK identifier:

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