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Nice Parabolic Subalgebras of Reductive Lie Algebras by Baur, Karin; Wallach, Nolan is a scholarly article available to read on EtoBox.

What is Nice Parabolic Subalgebras of Reductive Lie Algebras about?

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).

Author
Baur, Karin; Wallach, Nolan
Published
2004
Language
EN

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