3 papers
math.RT2026
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…
math.QA2026
The Drinfeld Center of the Generic Temperley--Lieb Category
Moaaz Alqady
We show that the Temperley--Lieb category embeds in an ultraproduct of modular tensor categories when is not a root of unity. As a result, we show t…
math.RT2025
A Coboundary Temperely-Lieb Category for -Crystals
Moaaz Alqady, Mateusz StroiÅski
By considering a suitable renormalization of the Temperley--Lieb category, we study its specialization to the case . Unlike the case, the obtained monoidal category,…