Asymptotics in finite monoidal categories

Asymptotics in finite monoidal categories

We give explicit formulas for the asymptotic growth rate of the number of summands in tensor powers in certain monoidal categories with finitely many indecomposable objects, and related structures.

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Veröffentlicht in:Proceedings of the American Mathematical Society. Series B 2023-11, Vol.10 (34), p.398-412
Hauptverfasser: Lacabanne, Abel, Tubbenhauer, Daniel, Vaz, Pedro
Format: Artikel
Sprache:eng
Schlagworte:
Category Theory
Mathematics
Representation Theory
Research article
Rings and Algebras
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Beschreibung
Zusammenfassung:We give explicit formulas for the asymptotic growth rate of the number of summands in tensor powers in certain monoidal categories with finitely many indecomposable objects, and related structures.
ISSN:2330-1511
2330-1511
DOI:10.1090/bproc/198