Growth problems in diagram categories

Abstract

In the semisimple case, we derive (asymptotic) formulas for the growth rate of the number of summands in tensor powers of the generating object in diagram/interpolation categories.

10 pages, many figures, comments welcome, to appear in Bull. Lond. Math. Soc

References in corpus (7)

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• Cellular structures using ${\text{U}}_q$-tilting modules
• A construction of semisimple tensor categories
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• Monoidal categories, representation gap and cryptography
• Sandwich cellularity and a version of cell theory
• Asymptotics in finite monoidal categories