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math.RT2025
Generalized diagram categories and monoids, and their representations
Matthias Fresacher, Willow Stewart, Daniel Tubbenhauer
Classical diagram categories and monoids, including the Temperley--Lieb, Brauer, and partition cases, arise as special instances of the category of two dimensional cobordisms and a…
math.RT2025
Representation gaps of rigid planar diagram monoids
Willow Stewart, Daniel Tubbenhauer
We define non-pivotal analogs of the Temperley-Lieb, Motzkin, and planar rook monoids, and compute bounds for the sizes of their nontrivial simple representations. From this, we as…