Article

Algebras and Representation Theory

, Volume 14, Issue 1, pp 41-55

First online:

Fusion Rings Arising from Normal Hopf Subalgebras

  • Sebastian BurciuAffiliated withInst. of Math. “Simion Stoilow” of the Romanian Academy Email author 
  • , Vicentiu PasolAffiliated withInst. of Math. “Simion Stoilow” of the Romanian Academy

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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.

Keywords

Hopf algebras Normal Hopf subalgebras Frobenius-Perron Representations of Hopf algebras

Mathematics Subject Classification (2000)

16W30