Connecting affine $\mathcal{W}$-algebras: A case study on $\mathfrak{sl}_4$
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866911399941242880 |
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| author | Fasquel, Justine Fehily, Zachary Fursman, Ethan Nakatsuka, Shigenori |
| author_facet | Fasquel, Justine Fehily, Zachary Fursman, Ethan Nakatsuka, Shigenori |
| contents | We introduce the partial reductions and inverse Hamiltonian reductions between affine $\mathcal{W}$-algebras along the closure relations of associated nilpotent orbits in the case of $\mathfrak{sl}_4$, fulfilling all the missing constructions in the literature. We also apply the partial reductions to modules in the Kazhdan-Lusztig category and show compatibility with the usual reductions of Weyl modules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13785 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Connecting affine $\mathcal{W}$-algebras: A case study on $\mathfrak{sl}_4$ Fasquel, Justine Fehily, Zachary Fursman, Ethan Nakatsuka, Shigenori Quantum Algebra Representation Theory We introduce the partial reductions and inverse Hamiltonian reductions between affine $\mathcal{W}$-algebras along the closure relations of associated nilpotent orbits in the case of $\mathfrak{sl}_4$, fulfilling all the missing constructions in the literature. We also apply the partial reductions to modules in the Kazhdan-Lusztig category and show compatibility with the usual reductions of Weyl modules. |
| title | Connecting affine $\mathcal{W}$-algebras: A case study on $\mathfrak{sl}_4$ |
| topic | Quantum Algebra Representation Theory |
| url | https://arxiv.org/abs/2408.13785 |