Kildetoft, TobiasMackaay, MarcoMazorchuk, VolodymyrZimmermann, Jakob2021-02-162021-02-1620180002-9947http://hdl.handle.net/10400.1/15107In all finite Coxeter types but I-2(12), I-2(18), and I-2(30), we classify simple transitive 2-representations for the quotient of the 2-category of Soergel bimodules over the coinvariant algebra which is associated with the two-sided cell that is the closest one to the two-sided cell containing the identity element. It turns out that, in most of the cases, simple transitive 2-representations are exhausted by cell 2-representations. However, in Coxeter types I-2(2k), where k >= 3, there exist simple transitive 2-representations which are not equivalent to cell 2-representations.engPolynomialsCategoriesCellsjournal article10.1090/tran/7456