5 papers · 1 filter
Presentations for categories of crystals
Moaaz Alqady, David He, Daniel Tubbenhauer
We give generators and relations for the monoidal categories of crystals generated by the fundamental crystals of a simple complex Lie algebra. We also spell out several small-rank…
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…
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…
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…
Growth Problems for Representations of Finite Groups
David He
We give a general asymptotic formula for the growth rate of the number of indecomposable summands in the tensor powers of representations of finite groups, over a field of arbitrar…