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- W2071628951 abstract "The fuzzy algebra of S^4 is discussed by quantum deformation. To this end we embed the classical S^4 in the Kaehler coset space SO(5)/U(2). The harmonic functions of S^4 are constructed in terms of the complex coordinates of SO(5)/U(2). Being endowed with the symplectic structure they can be deformed by the Fedosov formalism. We show that they generate the fuzzy algebra hat A_infty (S^4) under the * product defined therein, by using the Darboux coordinate system. The fuzzy spheres of higher even dimensions can be discussed similarly. We give basic arguments for the generalization as well." @default.
- W2071628951 created "2016-06-24" @default.
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- W2071628951 date "2003-04-01" @default.
- W2071628951 modified "2023-10-16" @default.
- W2071628951 title "The fuzzy S4 by quantum deformation" @default.
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- W2071628951 doi "https://doi.org/10.1016/s0550-3213(03)00104-4" @default.
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