Additive versus abelian 2-representations of fiat 2-categories

By Volodymyr Mazorchuk, Vanessa Miemietz. 2011

67 citations recorded by the source corpus.

We study connections between additive and abelian 2-rep- resentations of fiat 2-categories, describe combinatorics of 2-categories in terms of multisemigroups and determine the annihilator of a cell 2- representation. We also describe, in detail, examples of fiat 2-categories associated to sl2-categorification in the sense of Chuang and Rouquier, and 2-categorical analogues of Schur algebras.

Subfields: Geometry and Topology, Mathematical Physics, Neurology

View Paper: https://www.semanticscholar.org/paper/d7eff1fda8acb10cd026fffa0739e5f2bb7f611e

Citations in the corpus

• Endomorphisms of cell 2-representations (2012, unknown): “In this article we define the 2-categories of 2representations of C extending the setup (from the one in [11, 12]) by considering non-strict 2-natural transformations between two 2-representations M and N.”