Diagramatics of $A_1 \times A_1$ Folded Soergel Bimodules
Representation Theory
2024-05-24 v1 Category Theory
Abstract
There is an action of on the category of Soergel Bimodules of type induced by the nontrivial automorphism of its Dynkin diagram. We give an isotopy presentation by local generators and relations of the equivariantization of the category of Soergel Bimodules of type under this action. This is the first step in a program to describe and study the categories of equivariant Soergel Bimodules.
Cite
@article{arxiv.2405.13982,
title = {Diagramatics of $A_1 \times A_1$ Folded Soergel Bimodules},
author = {Nicolas Jaramillo Torres},
journal= {arXiv preprint arXiv:2405.13982},
year = {2024}
}