Asymptotics in finite monoidal categories
Copyright policy )Asymptotics in finite monoidal categories
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.
- French National Centre for Scientific Research France
- Université Catholique de Louvain Belgium
- University of Clermont Auvergne France
- Clermont Université France
- Uganda Clays (Uganda) Uganda
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Modular representations and characters, Perron–Frobenius theory, Fusion categories, modular tensor categories, modular functors, monoidal categories., Hecke algebras and their representations, [MATH.MATH-RA] Mathematics [math]/Rings and Algebras [math.RA], FOS: Mathematics, Monoidal categories, Category Theory (math.CT), asymptotic behavior, [MATH.MATH-RT] Mathematics [math]/Representation Theory [math.RT], Representation Theory (math.RT), Primary: 11N45, 18M05, Secondary: 05C81, 15A18, 20C20, Tensor products, Hopf algebras and their applications, Representation Theory, Primary: 11N45, 18M05, Secondary: 16T05, 18M20, 26A12, Growth problems, Mathematics - Category Theory, Mathematics - Rings and Algebras, tensor products, [MATH.MATH-CT] Mathematics [math]/Category Theory [math.CT], Combinatorics, Rings and Algebras (math.RA), monoidal categories, Monoidal categories, symmetric monoidal categories, Category Theory, Combinatorics (math.CO), Random walks, Mathematics - Representation Theory
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Modular representations and characters, Perron–Frobenius theory, Fusion categories, modular tensor categories, modular functors, monoidal categories., Hecke algebras and their representations, [MATH.MATH-RA] Mathematics [math]/Rings and Algebras [math.RA], FOS: Mathematics, Monoidal categories, Category Theory (math.CT), asymptotic behavior, [MATH.MATH-RT] Mathematics [math]/Representation Theory [math.RT], Representation Theory (math.RT), Primary: 11N45, 18M05, Secondary: 05C81, 15A18, 20C20, Tensor products, Hopf algebras and their applications, Representation Theory, Primary: 11N45, 18M05, Secondary: 16T05, 18M20, 26A12, Growth problems, Mathematics - Category Theory, Mathematics - Rings and Algebras, tensor products, [MATH.MATH-CT] Mathematics [math]/Category Theory [math.CT], Combinatorics, Rings and Algebras (math.RA), monoidal categories, Monoidal categories, symmetric monoidal categories, Category Theory, Combinatorics (math.CO), Random walks, Mathematics - Representation Theory
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