Degenerate Whittaker functionals for real reductive groups

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Main results Theorem (2) The sets Ψ (π) and WF (π) determine one another if 1 G = GL n (R) or GL n (C) or SL n (C) and π ∈ M (G ) Gourevitch-Sahi Degenerate Whittaker functionals August 2012 6 / 14
Main results Theorem (2) The sets Ψ (π) and WF (π) determine one another if 1 G = GL n (R) or GL n (C) or SL n (C) and π ∈ M (G ) 2 G = Sp 2n (C) or O n (C) or SO n (C) and π is irreducible Gourevitch-Sahi Degenerate Whittaker functionals August 2012 6 / 14
Page 1 and 2: Degenerate Whittaker functionals fo
Page 3 and 4: 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: Main results From now on, let F = R
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 ′ =
Page 53 and 54: Proof of Theorem 3 Proof. For GL (n
Page 55 and 56: Proof of Theorem 3 Proof. For GL (n
Page 57 and 58: Counterexamples for exceptional gro
Page 73 and 74:
Counterexamples for exceptional gro
Page 75 and 76:
Counterexamples for exceptional gro
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Degenerate Whittaker functionals for real reductive groups

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