Geodesic
On the locus of $p$-characters defining simple reduced enveloping algebras
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 2, pp. 196-203 Cet article a éte moissonné depuis la source Math-Net.Ru

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We confirm in two cases the conjecture stating that the reduced enveloping algebra $U_\xi(\mathfrak g)$ of a restricted Lie algebra $\mathfrak g$ is simple if and only if the alternating bilinear form associated with the given $p$-character $\xi\in\mathfrak g^*$ is nondegenerate.
Keywords: restricted Lie algebras, Frobenius Lie algebras, reduced enveloping algebras.
Mots-clés : solvable Lie algebras 
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S. M. Skryabin. On the locus of $p$-characters defining simple reduced enveloping algebras. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 2, pp. 196-203. http://geodesic.mathdoc.fr/item/UZKU_2012_154_2_a18/

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