Braid group actions from categorical symmetric Howe duality on deformed Webster algebras
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2018
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| _version_ | 1866909076825309184 |
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| author | Khovanov, Mikhail Lauda, Aaron D. Sussan, Joshua Yonezawa, Yasuyoshi |
| author_facet | Khovanov, Mikhail Lauda, Aaron D. Sussan, Joshua Yonezawa, Yasuyoshi |
| contents | We construct a 2-representation categorifying the symmetric Howe representation of $\mathfrak{gl}_m$ using a deformation of an algebra introduced by Webster. As a consequence, we obtain a categorical braid group action taking values in a homotopy category. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1802_05358 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Braid group actions from categorical symmetric Howe duality on deformed Webster algebras Khovanov, Mikhail Lauda, Aaron D. Sussan, Joshua Yonezawa, Yasuyoshi Quantum Algebra 16D20, 16E20, 81R50, 20F36 We construct a 2-representation categorifying the symmetric Howe representation of $\mathfrak{gl}_m$ using a deformation of an algebra introduced by Webster. As a consequence, we obtain a categorical braid group action taking values in a homotopy category. |
| title | Braid group actions from categorical symmetric Howe duality on deformed Webster algebras |
| topic | Quantum Algebra 16D20, 16E20, 81R50, 20F36 |
| url | https://arxiv.org/abs/1802.05358 |