Simple transitive 2-representations and Drinfeld center for some finitary 2-categories

2015/06/08 by Xiaoting Zhang, Zhang, Xiaoting · 2 citations
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1506.02402

openalex publication_date 2015/06/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We classify all simple transitive 2-representations for two classes of finitary 2-categories associated with tree path algebras and also for one class of fiat 2-categories associated with truncated polynomial rings. Additionally, we compute the Drinfeld centers for all these 2-categories.

Citations

• 2-Kac-Moody algebras
• From subfactors to categories and topology II: The quantum double of tensor categories and subfactors
• Derived equivalences for symmetric groups and sl_2-categorification

Cited by

• Fiat categorification of the symmetric inverse semigroup IS_n and the\n semigroup F^*_n
• Simple transitive 2-representations for two non-fiat 2-categories of projective functors

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