Pyramids and 2-representations

• Volodymyr Mazorchuk ^[1] ; Vanessa Miemietz ^[2] ; Xiaoting Zhang ^[1]
  1. [1] Uppsala University

     Uppsala University

     Uppsala domkyrkoförs., Suecia

     
  2. [2] University of East Anglia

     University of East Anglia

     Norwich District, Reino Unido

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 36, Nº 2, 2020, págs. 387-405
• Idioma: inglés
• DOI: 10.4171/rmi/1133
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• Resumen

  • We describe a diagrammatic procedure which lifts strict monoidal actions from additive categories to categories of complexes avoiding any use of direct sums. As an application, we prove that every simple transitive 2-representation of the 2-category of projective bimodules over a finite dimensional algebra is equivalent to a cell 2-representation.