Almost finitary birepresentation theory and applications to affine Soergel bimodules
Representation Theory
2026-04-23 v1 Quantum Algebra
Abstract
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 the classification of simple birepresentations of almost finitary bicategories, and consider in detail the case of Soergel bimodules in extended affine type A.
Keywords
Cite
@article{arxiv.2604.20604,
title = {Almost finitary birepresentation theory and applications to affine Soergel bimodules},
author = {Marco Mackaay and Vanessa Miemietz and Pedro Vaz},
journal= {arXiv preprint arXiv:2604.20604},
year = {2026}
}
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55 pages