Degenerate Whittaker functionals for real reductive groups
Degenerate Whittaker functionals for real reductive groups
Degenerate Whittaker functionals for real reductive groups
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<strong>Whittaker</strong> <strong>functionals</strong><br />
F: local field of char.0, G: <strong>reductive</strong> group over F.<br />
M(G ): smooth admissible representations (of moderate growth).<br />
Assume G quasisplit: fix Borel B = HN, n := Lie F (N).<br />
Define<br />
n ′ = [n, n] , v = n/n ′ , Ψ = v ∗ ⊂ n ∗<br />
Gourevitch-Sahi <strong>Degenerate</strong> <strong>Whittaker</strong> <strong>functionals</strong> August 2012 2 / 14