English

Weighted colimits of 2-representations and star algebras

Representation Theory 2024-08-28 v4

Abstract

We apply the theory of weighted bicategorical colimits to study the problem of existence and computation of such colimits of birepresentations of finitary bicategories. The main application of our results is the complete classification of simple transitive birepresentations of a bicategory studied in arXiv:1805.05724, which confirms a conjecture made therein.

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Cite

@article{arxiv.2106.14452,
  title  = {Weighted colimits of 2-representations and star algebras},
  author = {Mateusz Stroiński},
  journal= {arXiv preprint arXiv:2106.14452},
  year   = {2024}
}

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31 pages