-Whittaker vectors corresponding to a principal nilpotent orbit of a real reductive linear Lie group, and wave front sets
Hisayosi Matumoto (1992)
Compositio Mathematica
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Hisayosi Matumoto (1992)
Compositio Mathematica
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Ian Stewart (1975)
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We prove an extension of Rais' theorem on the coadjoint representation of certain graded Lie algebras. As an application, we prove that, for the coadjoint representation of any seaweed subalgebra in a general linear or symplectic Lie algebra, there is a generic stabiliser and the field of invariants is rational. It is also shown that if the highest root of a simple Lie algerba is not fundamental, then there is a parabolic subalgebra whose coadjoint representation...
Charbonnel, Jean-Yves, Moreau, Anne (2010)
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