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math.RT2025
Affine diagram categories, algebras and monoids
David He, Daniel Tubbenhauer
We introduce and study several affine (=annular in this paper) versions of the classical diagram algebras such as Temperley-Lieb, partition, Brauer, Motzkin, rook Brauer, rook, pla…
math.RT2025
Tensor powers of representations of (diagram) monoids
David He, Daniel Tubbenhauer
We study tensor powers of representations of finite monoids, focusing on the growth behavior of their composition length and the number of indecomposable summands. Special attentio…
math.RT2025
Growth Problems for Representations of Finite Monoids
David He, Daniel Tubbenhauer
We give a conjecture for the asymptotic growth rate of the number of indecomposable summands in the tensor powers of representations of finite monoids, expressing it in terms of th…