Almost finitary birepresentation theory and applications to affine Soergel bimodules

Fuente: arXiv
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Hauptverfasser: Mackaay, Marco, Miemietz, Vanessa, Vaz, Pedro
Format: Preprint
Veröffentlicht: 2026
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author Mackaay, Marco
Miemietz, Vanessa
Vaz, Pedro
author_facet Mackaay, Marco
Miemietz, Vanessa
Vaz, Pedro
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2604_20604
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Almost finitary birepresentation theory and applications to affine Soergel bimodules
Mackaay, Marco
Miemietz, Vanessa
Vaz, Pedro
Representation Theory
Quantum Algebra
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.
title Almost finitary birepresentation theory and applications to affine Soergel bimodules
topic Representation Theory
Quantum Algebra
url https://arxiv.org/abs/2604.20604