60 citations · 225 across the 37 of their papers we have counts for
42 papers
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…
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…
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…
Induction for extended affine type A Soergel bimodules: first steps
Marco Mackaay, Vanessa Miemietz, Pedro Vaz
In this paper we take the first steps towards the categorification of the Zelevinsky tensor product of finite dimensional representations of extended affine type A Hecke algebras.
Hochschild cohomology for finitary 2-representations
James Macpherson, Vanessa Miemietz, Mateusz Stroiński
In this article, we define and investigate Hochschild cohomology for finitary 2-representations of quasi-fiat 2-categories.
Applying projective functors to arbitrary holonomic simple modules
Marco Mackaay, Volodymyr Mazorchuk, Vanessa Miemietz
We prove that applying a projective functor to a holonomic simple module over a semi-simple finite dimensional complex Lie algebra produces a module that has an essential semi-simp…