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