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math.RT2026
Categorification in Representation Theory
Vanessa Miemietz
In this survey article, we give an introduction to the relatively young subject of -representation theory, which studies categorifications of important players in classical repr…
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.RT2026
Almost finitary birepresentation theory and applications to affine Soergel bimodules
Marco Mackaay, Vanessa Miemietz, Pedro Vaz
In this article, we develop a generalization of finitary birepresentation theory applicable to Soergel bimodules for infinite Coxeter groups. We establish a reduction process for t…