Zi's classification conjecture for simple transitive 2-representations

Let \scBnstr\sc\text{B}\hspace{1.0pt}_{n}^{\operatorname{str}} be the finitary bicategory under consideration, and let simple transitive 22-representations of it be considered up to equivalence. Zi's classification conjecture. Equivalence classes of simple transitive 22-representations of \scBnstr\sc\text{B}\hspace{1.0pt}_{n}^{\operatorname{str}} are in bijection with set partitions of {1,,n}\left\{ 1,\ldots,n \right\}. The conjecture is the classification problem for simple transitive 22-representations of this bicategory; the paper states that its main theorem confirms it, so the conjecture is solved.

Sources & referencesView supporting material

Primary source

Mateusz Stroiński, “Weighted colimits of 2-representations and star algebras”, arXiv:2106.14452 (2024).

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