Abstract
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.
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Presented by Lieven Lebruyn.
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Burciu, S., Pasol, V. Fusion Rings Arising from Normal Hopf Subalgebras. Algebr Represent Theor 14, 41–55 (2011). https://doi.org/10.1007/s10468-009-9174-1
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DOI: https://doi.org/10.1007/s10468-009-9174-1