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On Auslander-Reiten theory for algebras and derived categories

Abstract:

This thesis consists of three parts. In the first part we look at Hopf algebras. 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. These Hopf algebras were classified by Radford and Krop for fields of characteristic zero. We obtain three types of Hopf algebras presented by generators and relations. The third type is new and has not previously appeared in literature.

The second...

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Institution:
University of Oxford
Division:
MPLS
Oxford college:
University College
Role:
Author

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Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Publication date:
2009
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
UUID:
uuid:ad4cd5a8-34b6-4725-a2a4-a3f08994618b
Local pid:
ora:11492
Deposit date:
2015-05-27

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