Degenerate Whittaker functionals for real reductive groups

Abstract

In this paper we establish a connection between the associated variety of a representation and the existence of certain 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.

22 pages. v2: exposition improved, typos corrected. To appear in Amer. Jour. of Math

Cited by in corpus (2)

• Eisenstein series and automorphic representations
• Generalized and degenerate Whittaker models