Reduction of Quantum Principal Bundles over non affine bases
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866913260928761856 |
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| author | Fioresi, Rita Latini, Emanuele Pagani, Chiara |
| author_facet | Fioresi, Rita Latini, Emanuele Pagani, Chiara |
| contents | In this paper we develop the theory of reduction of quantum principal bundles over projective bases. We show how the sheaf theoretic approach can be effectively applied to certain relevant examples as the Klein model for the projective spaces; in particular we study in the algebraic setting the reduction of the principal bundle $\mathrm{GL}(n) \to \mathrm{GL}(n)/P= \mathbf{P}^{n-1}(\mathbb{C})$ to the Levi subgroup $G_0$ inside the maximal parabolic subgroup $P$ of $\mathrm{GL}(n)$. We characterize reductions in the sheaf theoretic setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_06830 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Reduction of Quantum Principal Bundles over non affine bases Fioresi, Rita Latini, Emanuele Pagani, Chiara Quantum Algebra Mathematical Physics In this paper we develop the theory of reduction of quantum principal bundles over projective bases. We show how the sheaf theoretic approach can be effectively applied to certain relevant examples as the Klein model for the projective spaces; in particular we study in the algebraic setting the reduction of the principal bundle $\mathrm{GL}(n) \to \mathrm{GL}(n)/P= \mathbf{P}^{n-1}(\mathbb{C})$ to the Levi subgroup $G_0$ inside the maximal parabolic subgroup $P$ of $\mathrm{GL}(n)$. We characterize reductions in the sheaf theoretic setting. |
| title | Reduction of Quantum Principal Bundles over non affine bases |
| topic | Quantum Algebra Mathematical Physics |
| url | https://arxiv.org/abs/2403.06830 |