English

Frobenius-Perron dimensions of integral $\Bbb Z_+$-rings and applications

Rings and Algebras 2018-12-18 v1

Abstract

We introduce the notion of the Frobenius-Perron dimension of an integral Z+\Bbb Z_+-ring and give some applications of this notion to classification of finite dimensional quasi-Hopf algebras with a unique nontrivial simple module, and of quasi-Hopf and Hopf algebras of prime dimension pp.

Keywords

Cite

@article{arxiv.1812.06556,
  title  = {Frobenius-Perron dimensions of integral $\Bbb Z_+$-rings and applications},
  author = {Pavel Etingof},
  journal= {arXiv preprint arXiv:1812.06556},
  year   = {2018}
}

Comments

24 pages, latex