On quantization of a nilpotent orbit closure in $G_2$
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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.References
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Additional Information
- Kayue Daniel Wong
- Affiliation: Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
- MR Author ID: 1140325
- Email: makywong@ust.hk
- Received by editor(s): January 31, 2016
- Received by editor(s) in revised form: February 9, 2016
- Published electronically: May 23, 2016
- Communicated by: Kailash C. Misra
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 5097-5102
- MSC (2010): Primary 17B08, 22E46
- DOI: https://doi.org/10.1090/proc/13169
- MathSciNet review: 3556255