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Reduction of Quantum Principal Bundles over non affine bases
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Reduction of Quantum Principal Bundles over non affine bases
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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.
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Cited by 1 Pith paper
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On quantum $G$-structures
A quantum G-structure, defined as a reduction of a quantum frame resolution, itself forms a quantum frame resolution under a covariant first-order differential calculus.
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