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arXiv · 1207.6236

Endomorphisms of cell 2-representations

Volodymyr Mazorchuk·Vanessa Miemietz
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Abstract

We determine the endomorphism categories of cell 2-representations of fiat 2-categories associated with strongly regular two-sided cells under some natural assumptions. Along the way, we completely describe J-simple fiat 2-categories which have only one two-sided cell J apart from the identities, under the same conditions as above. For positively graded 2-categories, we show that the additional restrictions are redundant.

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Volodymyr Mazorchuk, Vanessa Miemietz. 2012-07-26. Endomorphisms of cell 2-representations. https://arxiv.org/abs/1207.6236

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