Asymptotics in finite monoidal categories

Author:

Lacabanne Abel,Tubbenhauer Daniel,Vaz Pedro

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.

Funder

Fonds De La Recherche Scientifique - FNRS

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology,Discrete Mathematics and Combinatorics,Analysis,Algebra and Number Theory

Reference29 articles.

1. Projective modules for 𝑆𝐿(2,2ⁿ);Alperin, J. L.;J. Pure Appl. Algebra,1979

2. Representations, resolutions and Quillen’s dimension theorem;Alperin, J. L.;J. Pure Appl. Algebra,1981

3. Fusion categories arising from semisimple Lie algebras;Andersen, Henning Haahr;Comm. Math. Phys.,1995

4. The non-projective part of the tensor powers of a module;Benson, Dave;J. Lond. Math. Soc. (2),2020

5. Estimation asymptotique des multiplicités dans les puissances tensorielles d’un 𝔤-module;Biane, Philippe;C. R. Acad. Sci. Paris S\'{e}r. I Math.,1993

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Asymptotics in finite monoidal categories;Proceedings of the American Mathematical Society, Series B;2023-11-08

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