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

Autor: Stroiński, Mateusz
Rok vydání: 2020
Předmět:
Zdroj: Communications in Algebra, Vol. 50, Issue 8, 2022, pages 3630-3649
Druh dokumentu: Working Paper
Popis: 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 the main result of arXiv:1805.05724.
Comment: 21 pages
Databáze: arXiv