Fusion Rings Arising from Normal Hopf Subalgebras

Research paper by Sebastian Burciu, Vicentiu Pasol

Indexed on: 08 Dec '09Published on: 08 Dec '09Published in: Algebras and Representation Theory


For any normal commutative Hopf subalgebra K = kG 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.