Local theta correspondence and nilpotent invariants
Representation Theory
2018-08-15 v2
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.
Cite
@article{arxiv.1802.01774,
title = {Local theta correspondence and nilpotent invariants},
author = {Chen-Bo Zhu},
journal= {arXiv preprint arXiv:1802.01774},
year = {2018}
}
Comments
Submitted to the conference proceedings in honor of Joseph Bernstein