Fusion rings arising from normal Hopf subalgebras

Details Fusion rings arising from normal Hopf subalgebras Fusion rings arising from normal Hopf subalgebras

2009-03-23

arxiv.org/abs/0903.3817v1

Mathematics

Representation Theory

17 pages, no figures, accepted to ART

Scientific paper

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 $G=\Z_p$ this ring determines a fusion ring and we give a
complete description for it. The case $G=\Z_{p^n}$ and some other applications
are presented.

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