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1. CJM 1997 (vol 49 pp. 916)
| Quantization of the $4$-dimensional nilpotent orbit of $\SL(3,\R)$ 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
$\rho=|z|^4$.
Categories:81S10, 32C17, 22E70 |

