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arXiv · 1802.01774

Local theta correspondence and nilpotent invariants

Chen-Bo Zhu
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Abstract

We consider two types of nilpotent invariants associated to smooth representations, namely generalized Whittaker models, and associated characters (in the case of a real reductive group). We survey some recent results on the behavior of these nilpotent invariants under local theta correspondence, and highlight the special role of a certain double fiberation of moment maps.

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Chen-Bo Zhu. 2018-02-06. Local theta correspondence and nilpotent invariants. https://arxiv.org/abs/1802.01774

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