Sur le Cortex d'un groupe de Lie nilpotent

• Autores: Imed Kédim, Megdiche Hatem
• Localización: Journal of mathematics of Kyoto University, ISSN 0023-608X, Vol. 49, Nº 1, 2009, págs. 161-172
• Idioma: francés
• DOI: 10.1215/kjm/1248983034
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• Resumen

  • 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 $T$($\mathfrak{g}$)$\otimes$ $\mathfrak{g}$*.