Additive versus Abelian 2-representations of Fiat 2-categories

نویسندگان

  • VOLODYMYR MAZORCHUK
  • VANESSA MIEMIETZ
چکیده

We study connections between additive and abelian 2-representations 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 sl2categorification in the sense of Chuang and Rouquier, and 2-categorical analogues of Schur algebras.

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تاریخ انتشار 2011