Growth problems in diagram categories

2025/03/02 by Gruber, Jonathan, Tubbenhauer, Daniel · 2 citations
#11B85 #18M05 #Category Theory (math.CT) #FOS: Mathematics #Primary: 11N45 #Representation Theory (math.RT) #Secondary: 05E10

paper · doi:10.48550/arxiv.2503.00685

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.

Cited by

• Generalized diagram categories and monoids, and their representations
• Affine diagram categories, algebras and monoids

Related

• Asymptotics in infinite monoidal categories
• Growth Problems for Representations of Finite Groups
• Growth Problems for Representations of Finite Monoids
• Asymptotic Growth of Trivial Summands in Tensor Powers
• Tensor powers of representations of (diagram) monoids