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arXiv · 1112.4949

Additive versus abelian 2-representations of fiat 2-categories

Volodymyr Mazorchuk·Vanessa Miemietz
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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 $\mathfrak{sl}_2$-categorification in the sense of Chuang and Rouquier, and 2-categorical analogues of Schur algebras.

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BibTeXRIS

Volodymyr Mazorchuk, Vanessa Miemietz. 2011-12-21. Additive versus abelian 2-representations of fiat 2-categories. https://arxiv.org/abs/1112.4949

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