Nice Parabolic Subalgebras of Reductive Lie Algebras
This paper gives a classification of parabolic subalgebras of
simple Lie algebras over $\CC$ that are complexifications of
parabolic subalgebras of real forms for which Lynch's vanishing
theorem for generalized Whittaker modules is non-vacuous. The
paper also describes normal forms for the admissible characters in
the sense of Lynch (at least in the quasi-split cases) and
analyzes the important special case when the parabolic is defined
by an even embedded TDS (three dimensional simple Lie algebra).
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