On quantization of a nilpotent orbit closure in 𝐺₂

Wong, Kayue Daniel

doi:10.1090/proc/13169

On quantization of a nilpotent orbit closure in $G_2$
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Proc. Amer. Math. Soc. 144 (2016), 5097-5102 Request permission

Abstract:

Let $G$ be the complex exceptional Lie group of type $G_2$. Among the five nilpotent orbits in its Lie algebra $\mathfrak {g}$, only the 8-dimensional orbit $\mathcal {O}_8$ has non-normal orbit closure $\overline {\mathcal {O}_8}$. In this manuscript, we will give a quantization model of $\overline {\mathcal {O}_8}$, verifying a conjecture of Vogan made in 1984.

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