Asymptotics in finite monoidal categories

Data

Title: Asymptotics in finite monoidal categories
Authors: Abel Lacabanne, Daniel Tubbenhauer and Pedro Vaz
arXiv link: https://arxiv.org/abs/2307.03044
Published in: Proc. Amer. Math. Soc. Ser. B 10 (2023), 398–412.
DOI: 10.1090/bproc/198

Abstract

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.

Citation

@article {MR4665344,
    AUTHOR = {Lacabanne, Abel and Tubbenhauer, Daniel and Vaz, Pedro},
     TITLE = {Asymptotics in finite monoidal categories},
   JOURNAL = {Proc. Amer. Math. Soc. Ser. B},
  FJOURNAL = {Proceedings of the American Mathematical Society. Series B},
    VOLUME = {10},
      YEAR = {2023},
     PAGES = {398--412},
      ISSN = {2330-1511},
   MRCLASS = {18M05 (11N45 16T05 18M20 26A12)},
  MRNUMBER = {4665344},
       DOI = {10.1090/bproc/198},
       URL = {https://doi.org/10.1090/bproc/198},
}