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arXiv · 1511.03542

Slices for maximal parabolic subalgebras of a semisimple Lie algebra

Florence Fauquant-Millet·Polyxeni Lamprou
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Abstract

Let p be a maximal truncated parabolic subalgebra of a simple Lie Algebra. It was shown in many cases that the Poisson centre Y(p) is a polynomial algebra. We construct a slice for the coadjoint action of p, thus extending a theorem of Kostant. The role of the principal sl_2-triple is played by an adapted pair.

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BibTeXRIS

Florence Fauquant-Millet, Polyxeni Lamprou. 2015-11-11. Slices for maximal parabolic subalgebras of a semisimple Lie algebra. https://arxiv.org/abs/1511.03542

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