Isotypic faithful $2$-representations of $\mathcal{J}$-simple fiat $2$-categories

Volodymyr Mazorchuk; Vanessa Miemietz

Isotypic faithful $2$-representations of $\mathcal{J}$-simple fiat $2$-categories

Representation Theory 2016-12-30 v2 Category Theory

Authors: Volodymyr Mazorchuk , Vanessa Miemietz

Abstract

We introduce the class of isotypic $2$ -representations for finitary $2$ -categories and the notion of inflation of $2$ -representations. Under some natural assumptions we show that isotypic $2$ -representations are equivalent to inflations of cell $2$ -representations.

Keywords

2-representations fiat 2-categories isotypic representations cell 2-representations inflation finitary 2-categories $\mathcal{J}$-simple

Cite

@article{arxiv.1408.6102,
  title  = {Isotypic faithful $2$-representations of $\mathcal{J}$-simple fiat $2$-categories},
  author = {Volodymyr Mazorchuk and Vanessa Miemietz},
  journal= {arXiv preprint arXiv:1408.6102},
  year   = {2016}
}

Comments

to appear in Math Z

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