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math.RT2026
The subregular and submaximal -cells
Vanessa Miemietz, Marie Roth, Daniel Tubbenhauer
Cells for the canonical and -canonical bases organise the representation theory and geometry of Hecke categories. We determine the relevant -canonical basis elements and the…
math.RT2025
Growth problems in diagram categories
Jonathan Gruber, Daniel Tubbenhauer
In the semisimple case, we derive (asymptotic) formulas for the growth rate of the number of summands in tensor powers of the generating object in diagram/interpolation categories.
math.RT2018
Trihedral Soergel bimodules
Marco Mackaay, Volodymyr Mazorchuk, Vanessa Miemietz +1
The quantum Satake correspondence relates dihedral Soergel bimodules to the semisimple quotient of the quantum representation category. It also establishes a prec…