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Degenerate Whittaker functionals for real reductive groups
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 137, Number 2, April 2015
- pp. 439-472
- 10.1353/ajm.2015.0008
- Article
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In this paper we establish a connection between the associated variety of a representation and
the existence of certain {\it degenerate} Whittaker functionals, for both smooth and $K$-finite
vectors, for all quasi-split real reductive groups, thereby generalizing results of Kostant,
Matumoto and others.