3 papers
math.RT2026
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.
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…
math.QA2025
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…