Simple transitive 2-representations of bimodules over radical square zero Nakayama algebras via localization

We study the classification problem of simple transitive 2-representations 2-category finite-dimensional bimodules over a radical square zero Nakayama algebra. This results in complete whose apex is finitary two-sided cell. define notion localization 2-representations. construct previously unknown as localizations cell Using universal property our construction we prove that any 2-representation with equivalent to 2-representation.