Finite semisimple module 2-categories

• Thibault D. Décoppet ^[1]
  1. [1] Harvard University

     Harvard University

     City of Cambridge, Estados Unidos

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 31, Nº. 1, 2025
• Idioma: inglés
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• Resumen

  • Let C be a multifusion 2-category. We show that every finite semisimple C-module 2-category is canonically enriched over C. Using this enrichment, we prove that every finite semisimple C-module 2-category is equivalent to the 2-category of modules over a rigid algebra in C.