On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras
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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909509061967872 |
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| author | Fasquel, Justine Kovalchuk, Vladimir Nakatsuka, Shigenori |
| author_facet | Fasquel, Justine Kovalchuk, Vladimir Nakatsuka, Shigenori |
| contents | In this article, the Virasoro-type reduction and the corresponding inverse reductions are established for W-algebras associated with classical Lie type and nilpotent orbits of height two. Moreover, these results are lifted to the universal objects by analyzing the Virasoro-type reduction of the vertex algebra $\mathcal{W}^{\mathfrak{sp}}_{\infty}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_10694 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Fasquel, Justine Kovalchuk, Vladimir Nakatsuka, Shigenori Quantum Algebra Representation Theory In this article, the Virasoro-type reduction and the corresponding inverse reductions are established for W-algebras associated with classical Lie type and nilpotent orbits of height two. Moreover, these results are lifted to the universal objects by analyzing the Virasoro-type reduction of the vertex algebra $\mathcal{W}^{\mathfrak{sp}}_{\infty}$. |
| title | On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras |
| topic | Quantum Algebra Representation Theory |
| url | https://arxiv.org/abs/2411.10694 |