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

Fusion Rings Arising from Normal Hopf Subalgebras

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

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.

Presented by Lieven Lebruyn.