The main result of this paper establishes a bijection between the set of equivalence classes of simple transitive 2-representations with a fixed apex of a fiat 2-category and the set of equivalence classes of faithful simple transitive 2-representations of the fiat 2-subquotient of associated with a diagonal-cell in. As an application, we classify simple transitive 2-representations of various categories of Soergel bimodules, in particular, completing the classification in types and.
|Number of pages||37|
|Journal||Journal of the Institute of Mathematics of Jussieu|
|Early online date||4 Dec 2018|
|Publication status||Published - Nov 2020|
- coalgebra 1-morphism
- cotensor product
- simple transitive 2-representation