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arXiv · 2107.11037

Finite Semisimple Module 2-Categories

Thibault D. Décoppet
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Abstract

Let $\mathfrak{C}$ be a multifusion 2-category. We show that every finite semisimple $\mathfrak{C}$-module 2-category is canonically enriched over $\mathfrak{C}$. Using this enrichment, we prove that every finite semisimple $\mathfrak{C}$-module 2-category is equivalent to the 2-category of modules over a rigid algebra in $\mathfrak{C}$.

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BibTeXRIS

Thibault D. Décoppet. 2021-07-23. Finite Semisimple Module 2-Categories. https://doi.org/10.1007/s00029-024-00998-4

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