Abstract
For any fiat 2category C, we show how its simple transitive 2representations can be constructed using coalgebra 1morphisms in the injective abelianization of C. Dually, we show that these can also be constructed using algebra 1morphisms in the projective abelianization of C. We also extend Morita–Takeuchi theory to our setup and work out several examples, including that of Soergel bimodules for dihedral groups, explicitly.
Original language  English 

Pages (fromto)  133 
Number of pages  33 
Journal  Indiana University Mathematics Journal 
Volume  68 
Issue number  1 
DOIs  
Publication status  Published  1 Jan 2019 
Profiles

Vanessa Miemietz
 School of Mathematics  Associate Professor in Pure Mathematics
 Algebra and Combinatorics  Member
Person: Research Group Member, Academic, Teaching & Research