The Diagrammatic Spherical Category
Representation Theory
2026-03-06 v2
Abstract
We construct a diagrammatic categorification of the spherical module over the Hecke algebra. We establish a basis for the morphism spaces of this category, and prove that it is equivalent to an existing algebraic spherical category.
Cite
@article{arxiv.2512.24541,
title = {The Diagrammatic Spherical Category},
author = {Tasman Fell},
journal= {arXiv preprint arXiv:2512.24541},
year = {2026}
}