81 citations · 533 across the 36 of their papers we have counts for
39 papers
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.
Evaluation 2-Functors for Kac-Moody 2-Categories of Type A2
Marco Mackaay, James Macpherson, Pedro Vaz
We construct a 2-functor from the Kac-Moody 2-category for the extended quantum affine sl(3) to the homotopy 2-category of bounded chain complexes with values in the Kac-Moody 2-ca…
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…
Evaluation birepresentations of affine type A Soergel bimodules
M. Mackaay, V. Miemietz, P. Vaz
In this paper, we use Soergel calculus to define a monoidal functor, called the evaluation functor, from extended affine type A Soergel bimodules to the homotopy category of bounde…
Kostant's problem for fully commutative permutations
Marco Mackaay, Volodymyr Mazorchuk, Vanessa Miemietz
We give a complete combinatorial answer to Kostant's problem for simple highest weight modules indexed by fully commutative permutations. We also propose a reformulation of Kostant…