Symmetries of $\mathfrak{gl}_N$-foams
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866911758695792640 |
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| author | Qi, You Robert, Louis-Hadrien Sussan, Joshua Wagner, Emmanuel |
| author_facet | Qi, You Robert, Louis-Hadrien Sussan, Joshua Wagner, Emmanuel |
| contents | We give an action of a Lie subalgebra of the Witt algebra on foams. This action is compatible with the $\mathfrak{gl}_N$-foam evaluation formula. In particular, this endows states spaces associated with $\mathfrak{gl}_N$-webs with an $\mathfrak{sl}_2$-action. When working in positive characteristic, this can be used to define a $p$-DG structure on these state spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_10106 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Symmetries of $\mathfrak{gl}_N$-foams Qi, You Robert, Louis-Hadrien Sussan, Joshua Wagner, Emmanuel Geometric Topology Quantum Algebra Representation Theory 57K16, 17B10, 18N25, 18G35, 57K18 We give an action of a Lie subalgebra of the Witt algebra on foams. This action is compatible with the $\mathfrak{gl}_N$-foam evaluation formula. In particular, this endows states spaces associated with $\mathfrak{gl}_N$-webs with an $\mathfrak{sl}_2$-action. When working in positive characteristic, this can be used to define a $p$-DG structure on these state spaces. |
| title | Symmetries of $\mathfrak{gl}_N$-foams |
| topic | Geometric Topology Quantum Algebra Representation Theory 57K16, 17B10, 18N25, 18G35, 57K18 |
| url | https://arxiv.org/abs/2212.10106 |