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• W2773571018 abstract "Let $mathbf G$ be a complex orthogonal or complex symplectic group, and let $G$ be a real form of $mathbf G$, namely $G$ is a real orthogonal group, a real symplectic group, a quaternionic orthogonal group, or a quaternionic symplectic group. For a fixed parity $mathbb pin mathbb Z/2mathbb Z$, we define a set $mathrm{Nil}^{mathbb p}_{mathbf G}(mathfrak g)$ of nilpotent $mathbf G$-orbits in $mathfrak g$ (the Lie algebra of $mathbf G$). When $mathbb p$ is the parity of the dimension of the standard module of $mathbf G$, this is the set of the stably trivial special nilpotent orbits, which includes all rigid special nilpotent orbits. For each $mathcal O in mathrm{Nil}^{mathbb p}_{mathbf G}(mathfrak g)$, we construct all unipotent representations of $G$ (or its metaplectic cover when $G$ is a real symplectic group and $mathbb p$ is odd) attached to $mathcal O$ via the method of theta lifting and show in particular that they are unitary." @default.
• W2773571018 created "2017-12-22" @default.
• W2773571018 creator A5012372329 @default.
• W2773571018 creator A5034619816 @default.
• W2773571018 creator A5074925854 @default.
• W2773571018 date "2017-12-15" @default.
• W2773571018 modified "2023-09-27" @default.
• W2773571018 title "Unipotent representations of real classical groups" @default.
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