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1 results

  • Quantization of the 4-Dimensional Nilpotent Orbit of Sl(3, ℝ)

  • Ranee Brylinski
  • Journal:
    Canadian Journal of Mathematics / Volume 49 / Issue 5 / 01 October 1997
    Published online by Cambridge University Press:
    20 November 2018, pp. 916-943
    Print publication:
    01 October 1997
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  • 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.