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arXiv · 1202.1135

The derived algebra of a stabilizer, families of coadjoint orbits, and sheets

Anton Izosimov
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Abstract

Let $\mathfrak{g}$ be a finite-dimensional real or complex Lie algebra, and let $\mu \in \mathfrak{g}^{*}$. In the first part of the paper, the relation is discussed between the derived algebra of the stabilizer of $\mu$ and the set of coadjoint orbits which have the same dimension as the orbit of $\mu$. In the second part, semisimple Lie algebras are considered, and the relation is discussed between the derived algebra of a centralizer and sheets.

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Anton Izosimov. 2012-02-06. The derived algebra of a stabilizer, families of coadjoint orbits, and sheets. https://arxiv.org/abs/1202.1135

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