Fusion rings arising from normal Hopf subalgebras

Sebastian Burciu; Vicentiu Pasol

Fusion rings arising from normal Hopf subalgebras

Representation Theory 2009-03-24 v1 Number Theory

Authors: Sebastian Burciu , Vicentiu Pasol

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 $G=\Z_p$ this ring determines a fusion ring and we give a complete description for it. The case $G=\Z_{p^n}$ and some other applications are presented.

Keywords

fusion ring normal Hopf subalgebra semisimple Hopf algebra restriction of modules cyclic group

Cite

@article{arxiv.0903.3817,
  title  = {Fusion rings arising from normal Hopf subalgebras},
  author = {Sebastian Burciu and Vicentiu Pasol},
  journal= {arXiv preprint arXiv:0903.3817},
  year   = {2009}
}

Comments

17 pages, no figures, accepted to ART

Fusion rings arising from normal Hopf subalgebras

Abstract

Keywords

Cite

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