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

  • Ranee Brylinski (a1)
Abstract

We give a new geometric model for the quantization of the 4-dimensional conical (nilpotent) adjoint orbit O of SL(3, ). 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 O) with Kaehler potential ρ |z|4.

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References
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Canadian Journal of Mathematics
  • ISSN: 0008-414X
  • EISSN: 1496-4279
  • URL: /core/journals/canadian-journal-of-mathematics
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