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On symmetric fusion categories in positive characteristic

Category Theory 2015-03-06 v1 Quantum Algebra

Abstract

We propose a conjectural extension to positive characteristic case of a well known Deligne's theorem on the existence of super fiber functors. We prove our conjecture in the special case of semisimple categories with finitely many isomorphism classes of simple objects.

Keywords

Cite

@article{arxiv.1503.01492,
  title  = {On symmetric fusion categories in positive characteristic},
  author = {Victor Ostrik},
  journal= {arXiv preprint arXiv:1503.01492},
  year   = {2015}
}

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15 pages