Faithfulness of the 2-Braid Group via Zigzag Algebra in Type B
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909395082805248 |
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| author | Heng, Edmund Nge, Kie Seng |
| author_facet | Heng, Edmund Nge, Kie Seng |
| contents | We show that certain category of bimodules over a finite dimensional quiver algebra known as type B zigzag algebra is a quotient category of the category of type B Soergel bimodules. This leads to an alternate proof of Rouquier's conjecture on the faithfulness of the 2-braid groups for type B. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_09329 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Faithfulness of the 2-Braid Group via Zigzag Algebra in Type B Heng, Edmund Nge, Kie Seng Representation Theory Quantum Algebra 20F36 (Primary), 20J05, 20C08 (Secondary) We show that certain category of bimodules over a finite dimensional quiver algebra known as type B zigzag algebra is a quotient category of the category of type B Soergel bimodules. This leads to an alternate proof of Rouquier's conjecture on the faithfulness of the 2-braid groups for type B. |
| title | Faithfulness of the 2-Braid Group via Zigzag Algebra in Type B |
| topic | Representation Theory Quantum Algebra 20F36 (Primary), 20J05, 20C08 (Secondary) |
| url | https://arxiv.org/abs/2302.09329 |