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Local theta correspondence and nilpotent invariants (1802.01774v2)
Published 6 Feb 2018 in math.RT
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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