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Index and stable linear forms of Lie algebras

Patrice Tauvel·Rupert W. T. Yu
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Abstract

We characterize, in a purely algebraic manner, certain linear forms, called stable, on a Lie algebra. As an application, we determine the index of a Borel subalgebra of a semi-simple Lie algebra. Finally, we give an example of a parabolic subalgebra of a semi-simple Lie algebra which does not admit any stable linear form.

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BibTeXRIS

Patrice Tauvel, Rupert W. T. Yu. 2003-02-05. Index and stable linear forms of Lie algebras. https://doi.org/10.1016/s0021-8693(03)00376-4

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