Additive versus abelian 2-representations of fiat 2-categories

Volodymyr Mazorchuk, Vanessa Miemietz

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Abstract

We study connections between additive and abelian 2-rep-
resentations of fiat 2-categories, describe combinatorics of 2-categories
in terms of multisemigroups and determine the annihilator of a cell 2-
representation. We also describe, in detail, examples of fiat 2-categories
associated to sl2-categorification in the sense of Chuang and Rouquier,
and 2-categorical analogues of Schur algebras.
Original languageEnglish
Pages (from-to)595–615
Number of pages21
JournalMoscow Mathematical Journal
Volume14
Issue number3
Publication statusPublished - 2014

Keywords

  • 2-category
  • 2-representation
  • functor
  • natural transformation
  • additive category
  • abelian category

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