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.
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 language | English |
|---|---|
| Pages (from-to) | 595–615 |
| Number of pages | 21 |
| Journal | Moscow Mathematical Journal |
| Volume | 14 |
| Issue number | 3 |
| Publication status | Published - 2014 |
Keywords
- 2-category
- 2-representation
- functor
- natural transformation
- additive category
- abelian category