Fusion Rings Arising from Normal Hopf Subalgebras

For any normal commutative Hopf subalgebra K  =  k G of a semisimple Hopf algebra we describe the ring inside kG obtained by the restriction of H -modules. If G  =  p this ring determines a fusion ring and we give a complete description for it. The case and some other applications are presented....

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Bibliographic Details
Published in:Algebras and representation theory 2011-02, Vol.14 (1), p.41-55
Main Authors: Burciu, Sebastian, Pasol, Vicentiu
Format: Article
Language:English
Subjects:
Associative Rings and Algebras
Commutative Rings and Algebras
Mathematics
Mathematics and Statistics
Non-associative Rings and Algebras
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Summary:For any normal commutative Hopf subalgebra K  =  k G of a semisimple Hopf algebra we describe the ring inside kG obtained by the restriction of H -modules. If G  =  p this ring determines a fusion ring and we give a complete description for it. The case and some other applications are presented.
ISSN:1386-923X
1572-9079
DOI:10.1007/s10468-009-9174-1