Mathematische Zeitschrift

, Volume 282, Issue 1–2, pp 411–434 | Cite as

Isotypic faithful 2-representations of \({\mathcal {J}}\)-simple fiat 2-categories

Article

Abstract

We introduce the class of isotypic 2-representations for finitary 2-categories and the notion of inflation of 2-representations. Under some natural assumptions we show that isotypic 2-representations are equivalent to inflations of cell 2-representations.

Notes

Acknowledgments

A substantial part of the paper was written during a visit of the second author to Uppsala University, whose hospitality is gratefully acknowledged. The visit was supported by EPSRC grant EP/K011782/1 and by the Swedish Research Council. The first author is partially supported by the Swedish Research Council. The second author is partially supported by EPSRC grant EP/K011782/1.

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© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Department of MathematicsUppsala UniversityUppsalaSweden
  2. 2.School of MathematicsUniversity of East AngliaNorwichUK

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