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arXiv · 1408.6102

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

Volodymyr Mazorchuk·Vanessa Miemietz
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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.

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BibTeXRIS

Volodymyr Mazorchuk, Vanessa Miemietz. 2014-08-26. Isotypic faithful $2$-representations of $\mathcal{J}$-simple fiat $2$-categories. https://arxiv.org/abs/1408.6102

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