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• W2762907788 abstract "We consider the Lie group $mathbb{R}^D_kappa$ generated by the Lie algebra of $kappa$-Minkowski space. Imposing the invariance of the metric under the pull-back of diffeomorphisms induced by right translations in the group, we show that a unique right invariant metric is associated with $mathbb{R}^D_kappa$. This metric coincides with the metric of de Sitter space-time. We analyze the structure of unitary representations of the group $mathbb{R}^D_kappa$ relevant for the realization of the non-commutative $kappa$-Minkowski space by embedding into $(2D-1)$-dimensional Heisenberg algebra. Using a suitable set of generalized coherent states, we select the particular Hilbert space and realize the non-commutative $kappa$-Minkowski space as an algebra of the Hilbert-Schmidt operators. We define dequantization map and fuzzy variant of the Laplace-Beltrami operator such that dequantization map relates fuzzy eigenvectors with the eigenfunctions of the Laplace-Beltrami operator on the half of de Sitter space-time." @default.
• W2762907788 created "2017-10-20" @default.
• W2762907788 creator A5077546177 @default.
• W2762907788 date "2019-02-21" @default.
• W2762907788 modified "2023-10-16" @default.
• W2762907788 title "Fuzzy de Sitter Space from kappa‐Minkowski Space in Matrix Basis" @default.
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• W2762907788 doi "https://doi.org/10.1002/prop.201800061" @default.
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