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Asymptotics in finite monoidal categories

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arxiv 2307.03044 v2 pith:G2ZSV37S submitted 2023-07-06 math.RT math.CTmath.RA

Abel Lacabanne , Daniel Tubbenhauer , Pedro Vaz This is my paper · ORCID
classification math.RTmath.CTmath.RA
keywords categoriesmonoidalasymptoticasymptoticscertainexplicitfinitefinitely
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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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  1. Growth in affine Hecke categories

    math.RT 2026-08 accept novelty 7.0 of 10

    In affine Hecke categories, high tensor powers of a fixed object have a number of indecomposable summands of order n^{-|Phi^+|/2} times an exponential; proved in type A1, and for longest elements in type A2, with coar...

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