English

From Hopf algebras to tensor categories

Quantum Algebra 2012-04-27 v1

Abstract

This is a survey on spherical Hopf algebras. We give criteria to decide when a Hopf algebra is spherical and collect examples. We discuss tilting modules as a mean to obtain a fusion subcategory of the non-degenerate quotient of the category of representations of a suitable Hopf algebra.

Keywords

Cite

@article{arxiv.1204.5807,
  title  = {From Hopf algebras to tensor categories},
  author = {Nicolas Andruskiewitsch and Ivan Angiono and Agustin Garcia Iglesias and Blas Torrecillas and Cristian Vay},
  journal= {arXiv preprint arXiv:1204.5807},
  year   = {2012}
}

Comments

27 pages

R2 v1 2026-06-21T20:54:54.163Z