On symmetric fusion categories in positive characteristic

• Victor Ostrik ^[1]
  1. [1] University of Oregon, USA; National Research University Higher School of Economics, Rusia
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 26, Nº. 3, 2020
• Idioma: inglés
• DOI: 10.1007/s00029-020-00567-5
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• Resumen

  • We propose a conjectural extension in the positive characteristic case of 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.