Abstract
Let $G$ be a connected and simply connected, nilpotent Lie group. In this paper, we show that the cortex of $G$ is a semi-algebraic set by means of a geometric characterization. It is also shown that the cortex is the image under a linear projection of a countable union of a semi-algebraic sets lying in the tensor product $T$($\mathfrak{g}$)$\otimes$ $\mathfrak{g}$*.
Citation
Imed Kédim. Megdiche Hatem. "Sur le Cortex d'un groupe de Lie nilpotent." J. Math. Kyoto Univ. 49 (1) 161 - 172, 2009. https://doi.org/10.1215/kjm/1248983034
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