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Nice Parabolic Subalgebras of Reductive Lie Algebras

Karin Baur·Nolan Wallach
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Abstract

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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BibTeXRIS

Karin Baur, Nolan Wallach. 2004-09-17. Nice Parabolic Subalgebras of Reductive Lie Algebras. https://arxiv.org/abs/math/0409295

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