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Growth rates of the number of indecomposable summands in tensor powers

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arxiv 2301.00885 v2 pith:2BR2PMFR submitted 2023-01-02 math.RT math.CTmath.RA

Kevin Coulembier , Victor Ostrik , Daniel Tubbenhauer This is my paper · ORCID
classification math.RTmath.CTmath.RA
keywords numbersummandstensoraffineasymptoticbehaviordimensionalfinite
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In this paper we study the asymptotic behavior of the number of summands in tensor products of finite dimensional representations of affine (semi)group (super)schemes and related objects.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  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...

  2. Representation gaps of rigid planar diagram monoids

    math.RT 2025-05 conditional novelty 6.0 of 10

    Rigid non-pivotal Temperley-Lieb, Motzkin, and planar rook monoids have smaller representation gaps than their pivotal counterparts, making them worse for cryptographic use.

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