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arxiv: 1210.4064 · v2 · pith:7Z67BKXKnew · submitted 2012-10-15 · 🧮 math.RT

Degenerate Whittaker functionals for real reductive groups

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keywords degeneratefunctionalsgroupsrealreductivewhittakerassociatedcertain
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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.

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