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XXVIth Colloquium on Group Theoretical Methods in Physics, New-York : États-Unis (2006)
Fuzzy de Sitter space-times via coherent states quantization
J.-P. Gazeau1, J. Mourad1, J. Queva1

A construction of the 2d and 4d fuzzy de Sitter hyperboloids is carried out by using a (vector) coherent state quantization. We get a natural discretization of the dS "time" axis based on the spectrum of Casimir operators of the respective maximal compact subgroups SO(2) and SO(4) of the de Sitter groups SO_0(1,2) and SO_0(1,4). The continuous limit at infinite spins is examined.
1 :  APC - UMR 7164 - AstroParticule et Cosmologie
Physique/Physique Quantique

Physique/Physique mathématique

Mathématiques/Physique mathématique

Physique/Relativité Générale et Cosmologie Quantique
Coherent states – quantization – non-commutative geometry – de Sitter space-time – Fuzzy manifolds
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