Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 1793-1829 |
| Number of pages | 37 |
| Journal | Journal of the Institute of Mathematics of Jussieu |
| Volume | 19 |
| Issue number | 6 |
| Early online date | 4 Dec 2018 |
| DOIs | |
| Publication status | Published - Nov 2020 |
Keywords
- 2-category
- coalgebra 1-morphism
- cotensor product
- simple transitive 2-representation
Profiles
-
Vanessa Miemietz
- School of Engineering, Mathematics and Physics - Professor in Pure Mathematics
- Algebra, Number Theory, Logic, and Representations (ANTLR) - Member
Person: Research Group Member, Academic, Teaching and Research
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