Growth Rates of the Number of Indecomposable Summands in Tensor Powers

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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Vydané v:Algebras and representation theory Ročník 27; číslo 2; s. 1033 - 1062
Hlavní autori: Coulembier, Kevin, Ostrik, Victor, Tubbenhauer, Daniel
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Dordrecht Springer Netherlands 01.04.2024
Springer Nature B.V
Predmet:
Associative Rings and Algebras
Asymptotic properties
Commutative Rings and Algebras
Decomposition
Mathematics
Mathematics and Statistics
Non-associative Rings and Algebras
Tensors
18M05
Asymptotic behavior
Primary:17B10
Affine semigroup schemes
Affine group schemes
17B37
Supergroups
(Symmetric) monoidal categories
Semigroups
Tensor products
Hopf algebras
Secondary: 16T05
20C25
ISSN:1386-923X, 1572-9079
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Popis
Shrnutí: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.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1386-923X
1572-9079
DOI:10.1007/s10468-023-10245-7