Additive versus abelian 2-representations of fiat 2-categories
Representation Theory
2017-05-10 v1 Category Theory
Abstract
We study connections between additive and abelian 2-representations 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 -categorification in the sense of Chuang and Rouquier, and 2-categorical analogues of Schur algebras.
Keywords
Cite
@article{arxiv.1112.4949,
title = {Additive versus abelian 2-representations of fiat 2-categories},
author = {Volodymyr Mazorchuk and Vanessa Miemietz},
journal= {arXiv preprint arXiv:1112.4949},
year = {2017}
}
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20 pages