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• W1629404308 abstract "Using the notion of a Lagrangian covering, W. Graham and D. Vogan proposed a method of constructing representations from the coadjoint orbits for a complex semisimple Lie group $G$. When the coadjoint orbit $calO$ is nilpotent, a representation of $G$ is attached to each orbital variety of $calO$ in this way. In the setting of classical groups, we show that whenever it is possible to carry out the Graham-Vogan construction for an orbital variety of a spherical $mathcal{O}$, its infinitesimal character lies in a set of characters attached to $mathcal{O}$ by W. M. McGovern. Furthermore, we show that it is possible to carry out the Graham-Vogan construction for a sufficient number of orbital varieties to account for all the infinitesimal characters in this set." @default.
• W1629404308 created "2016-06-24" @default.
• W1629404308 creator A5084144898 @default.
• W1629404308 date "2006-03-29" @default.
• W1629404308 modified "2023-09-27" @default.
• W1629404308 title "Orbital Varieties and Unipotent Representations" @default.
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