Degenerate Whittaker functionals for real reductive groups

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Whittaker functionals F: local field of char.0, G: reductive group over F. Gourevitch-Sahi Degenerate Whittaker functionals August 2012 2 / 14
Whittaker functionals F: local field of char.0, G: reductive group over F. M(G ): smooth admissible representations (of moderate growth). Gourevitch-Sahi Degenerate Whittaker functionals August 2012 2 / 14
Page 1: Degenerate Whittaker functionals fo
Page 5 and 6: Whittaker functionals F: local fiel
Page 11 and 12: Kostant’s theorem We say π is ge
Page 13 and 14: Kostant’s theorem We say π is ge
Page 15 and 16: Case of non-generic representations
Page 17 and 18: Case of non-generic representations
Page 19 and 20: Main results From now on, let F = R
Page 21 and 22: Main results From now on, let F = R
Page 23 and 24: Main results Theorem (2) The sets
Page 25 and 26: Main results Theorem (2) The sets
Page 27 and 28: Uniqueness An analog of Shalika’s
Page 29 and 30: Uniqueness An analog of Shalika’s
Page 31 and 32: Algebraic setting From now on, we l
Page 37 and 38: Associated varieties and our algebr
Page 39 and 40: Associated varieties and our algebr
Page 41 and 42: Idea of the proof Since n/[n, n] is
Page 43 and 44: Idea of the proof Since n/[n, n] is
Page 45 and 46: Sketch of the proof Define n ′ =
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Proof of Theorem 3 Proof. For GL (n
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Proof of Theorem 3 Proof. For GL (n
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Counterexamples for exceptional gro
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Degenerate Whittaker functionals for real reductive groups

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