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Quantization of the 4-Dimensional Nilpotent Orbit of Sl(3, ℝ)
Published online by Cambridge University Press: 20 November 2018
Abstract
We give a new geometric model for the quantization of the 4-dimensional conical (nilpotent) adjoint orbit Oℝ of SL(3, ℝ). The space of quantization is the space of holomorphic functions on 𝕔 2 - {0}) which are square integrable with respect to a signed measure defined by a Meijer G-function. We construct the quantization out a non-flat Kaehler structure on 𝕔 2 - {0}) (the universal cover of Oℝ) with Kaehler potential ρ |z|4.
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- Copyright © Canadian Mathematical Society 1997
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