Diagramatics of $A_1 \times A_1$ Folded Soergel Bimodules
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910457608011776 |
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| author | Torres, Nicolas Jaramillo |
| author_facet | Torres, Nicolas Jaramillo |
| contents | There is an action of $\mathbb{Z}/2$ on the category of Soergel Bimodules of type $A_1 \times A_1$ 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 $A_1 \times A_1$ under this action. This is the first step in a program to describe and study the categories of equivariant Soergel Bimodules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_13982 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Diagramatics of $A_1 \times A_1$ Folded Soergel Bimodules Torres, Nicolas Jaramillo Representation Theory Category Theory There is an action of $\mathbb{Z}/2$ on the category of Soergel Bimodules of type $A_1 \times A_1$ 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 $A_1 \times A_1$ under this action. This is the first step in a program to describe and study the categories of equivariant Soergel Bimodules. |
| title | Diagramatics of $A_1 \times A_1$ Folded Soergel Bimodules |
| topic | Representation Theory Category Theory |
| url | https://arxiv.org/abs/2405.13982 |