Growth rates of the number of indecomposable summands in tensor powers

Abstract

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.

arXiv comment21 pages, many figures, revision, comments welcome

References in corpus (11)

• Quantum symmetric Kac-Moody pairs
• A new proof of the Mullineux conjecture
• Cellular structures using ${\text{U}}_q$-tilting modules
• Stirling's approximation for central extended binomial coefficients
• Semisimplicity of Hecke and (walled) Brauer algebras
• Billiards and Tilting Characters for ${\mathrm{SL}}_3$
• The Modular Temperley-Lieb Algebra
• On multiplicities of irreducibles in large tensor product of representations of simple Lie algebras
• SL2 tilting modules in the mixed case
• Quivers for SL(2) tilting modules
• The non-projective part of the tensor powers of a module

Cited by in corpus (3)

• Fractal behavior of tensor powers of the two dimensional space in prime characteristic
• Growth problems in diagram categories
• On rank one 2-representations of web categories