Simple transitive 2-representations of 2-categories associated to self-injective cores

Abstract

Given a finite dimensional algebra A, we consider certain sets of idempotents of A, called self-injective cores, to which we associate 2-subcategories of the 2-category of projective bimodules over A. We classify the simple transitive 2-representations of such 2-subcategories, vastly generalizing a previous result of Zimmermann.