, Volume 14, Issue 1, pp 41-55
Date: 08 Dec 2009

Fusion Rings Arising from Normal Hopf Subalgebras

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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 = \(G={\mathbb{Z}}\) p this ring determines a fusion ring and we give a complete description for it. The case \(G={\mathbb{Z}}_{p^n}\) and some other applications are presented.