Simple 2-representations and Classification of Categorifications

By Troels Agerholm
PhD Dissertations
October 2011
We consider selfadjoint functors defined on categories of modules over finite dimensional algebras and classify those that satisfy some simple relations. In particular we classify self- adjoint idempotents and selfadjoint squareroots of a multiple of the identity functor. This is related to the theory of algebraic categorification which we review with the viewpoint that a genuine categorification is a 2-representation of a 2-category.
Thesis advisor: Henning Haahr Andersen
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